452657520 has 480 divisors, whose sum is σ = 1903449600. Its totient is φ = 94058496.

The previous prime is 452657509. The next prime is 452657551. The reversal of 452657520 is 25756254.

452657520 is a `hidden beast` number, since 45 + 26 + 575 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2776959 + ... + 2777121.

It is an arithmetic number, because the mean of its divisors is an integer number (3965520).

Almost surely, 2^452657520 is an apocalyptic number.

452657520 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 452657520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951724800).

452657520 is an abundant number, since it is smaller than the sum of its proper divisors (1450792080).

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

452657520 is a wasteful number, since it uses less digits than its factorization.

452657520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 452657520 is about 21275.7495755144. The cubic root of 452657520 is about 767.8149782157.

The spelling of 452657520 in words is "four hundred fifty-two million, six hundred fifty-seven thousand, five hundred twenty".