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450901464 = 233132195851
BaseRepresentation
bin11010111000000…
…011010111011000
31011102110011112020
4122320003113120
51410412321324
6112424214440
714113412346
oct3270032730
91142404466
10450901464
11211581a42
1210700a420
1372554100
1443c54996
15298ba679
hex1ae035d8

450901464 has 96 divisors (see below), whose sum is σ = 1285099200. Its totient is φ = 131414400.

The previous prime is 450901459. The next prime is 450901481. The reversal of 450901464 is 464109054.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74139 + ... + 79989.

It is an arithmetic number, because the mean of its divisors is an integer number (13386450).

Almost surely, 2450901464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450901464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642549600).

450901464 is an abundant number, since it is smaller than the sum of its proper divisors (834197736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

450901464 is a wasteful number, since it uses less digits than its factorization.

450901464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5888 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 450901464 is about 21234.4405153515. The cubic root of 450901464 is about 766.8207950574.

The spelling of 450901464 in words is "four hundred fifty million, nine hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 169 228 247 312 338 456 494 507 676 741 988 1014 1352 1482 1976 2028 2964 3211 4056 5851 5928 6422 9633 11702 12844 17553 19266 23404 25688 35106 38532 46808 70212 76063 77064 111169 140424 152126 222338 228189 304252 333507 444676 456378 608504 667014 889352 912756 988819 1334028 1445197 1825512 1977638 2668056 2890394 2966457 3955276 4335591 5780788 5932914 7910552 8671182 11561576 11865828 17342364 18787561 23731656 34684728 37575122 56362683 75150244 112725366 150300488 225450732 450901464