452072957656320 has 10368 divisors, whose sum is σ = 2389787862336000. Its totient is φ = 79853015531520.

The previous prime is 452072957656319. The next prime is 452072957656343. The reversal of 452072957656320 is 23656759270254.

452072957656320 is a `hidden beast` number, since 4 + 5 + 2 + 0 + 7 + 2 + 9 + 576 + 56 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3034046695606 + ... + 3034046695754.

It is an arithmetic number, because the mean of its divisors is an integer number (230496514500).

Almost surely, 2^{452072957656320} is an apocalyptic number.

452072957656320 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 452072957656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194893931168000).

452072957656320 is an abundant number, since it is smaller than the sum of its proper divisors (1937714904679680).

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

452072957656320 is a wasteful number, since it uses less digits than its factorization.

452072957656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 452072957656320 in words is "four hundred fifty-two trillion, seventy-two billion, nine hundred fifty-seven million, six hundred fifty-six thousand, three hundred twenty".