452642904 has 384 divisors, whose sum is σ = 1593446400. Its totient is φ = 117573120.

The previous prime is 452642887. The next prime is 452642917. The reversal of 452642904 is 409246254.

452642904 is a `hidden beast` number, since 4 + 5 + 2 + 642 + 9 + 0 + 4 = 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, 12233574 + ... + 12233610.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^452642904 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 452642904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796723200).

452642904 is an abundant number, since it is smaller than the sum of its proper divisors (1140803496).

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

452642904 is a wasteful number, since it uses less digits than its factorization.

452642904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 452642904 is about 21275.4060830810. The cubic root of 452642904 is about 767.8067140543.

The spelling of 452642904 in words is "four hundred fifty-two million, six hundred forty-two thousand, nine hundred four".