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450868032 = 263553547
BaseRepresentation
bin11010110111111…
…011001101000000
31011102101110200000
4122313323031000
51410410234112
6112423400000
714113213026
oct3267731500
91142343600
10450868032
1121155990a
12106bb3000
1372541b24
1443c46716
15298b07dc
hex1adfb340

450868032 has 168 divisors, whose sum is σ = 1367978976. Its totient is φ = 147184128.

The previous prime is 450868027. The next prime is 450868069. The reversal of 450868032 is 230868054.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 823983 + ... + 824529.

It is an arithmetic number, because the mean of its divisors is an integer number (8142732).

Almost surely, 2450868032 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 450868032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683989488).

450868032 is an abundant number, since it is smaller than the sum of its proper divisors (917110944).

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

450868032 is an equidigital number, since it uses as much as digits as its factorization.

450868032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 450868032 is about 21233.6532890598. The cubic root of 450868032 is about 766.8018426635.

The spelling of 450868032 in words is "four hundred fifty million, eight hundred sixty-eight thousand, thirty-two".