452413707264 has 352 divisors, whose sum is σ = 1366214307840. Its totient is φ = 147857301504.

The previous prime is 452413707259. The next prime is 452413707281. The reversal of 452413707264 is 462707314254.

452413707264 is a `hidden beast` number, since 45 + 2 + 413 + 70 + 72 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524233297 + ... + 524234159.

Almost surely, 2^452413707264 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 452413707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683107153920).

452413707264 is an abundant number, since it is smaller than the sum of its proper divisors (913800600576).

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

452413707264 is a wasteful number, since it uses less digits than its factorization.

452413707264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 452413707264 in words is "four hundred fifty-two billion, four hundred thirteen million, seven hundred seven thousand, two hundred sixty-four".