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452869120 = 21051121743
BaseRepresentation
bin11010111111100…
…011110000000000
31011120011010122101
4122333203300000
51411413302440
6112534320144
714136216064
oct3277436000
91146133571
10452869120
112126a6300
121077b9054
1372a928c2
1444207aa4
1529b5869a
hex1afe3c00

452869120 has 264 divisors, whose sum is σ = 1293736752. Its totient is φ = 151388160.

The previous prime is 452869117. The next prime is 452869121. The reversal of 452869120 is 21968254.

It is a self number, because there is not a number n which added to its sum of digits gives 452869120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452869121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10531819 + ... + 10531861.

It is an arithmetic number, because the mean of its divisors is an integer number (4900518).

Almost surely, 2452869120 is an apocalyptic number.

452869120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646868376).

452869120 is an abundant number, since it is smaller than the sum of its proper divisors (840867632).

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

452869120 is a wasteful number, since it uses less digits than its factorization.

452869120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 452869120 is about 21280.7217922701. The cubic root of 452869120 is about 767.9346009126.

The spelling of 452869120 in words is "four hundred fifty-two million, eight hundred sixty-nine thousand, one hundred twenty".