452556024400404 has 192 divisors, whose sum is σ = 1207154866901760. Its totient is φ = 146530944000000.

The previous prime is 452556024400397. The next prime is 452556024400411. The reversal of 452556024400404 is 404004420655254.

452556024400404 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 560 + 2 + 4 + 40 + 0 + 40 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (452556024400397) and next prime (452556024400411).

It is a self number, because there is not a number n which added to its sum of digits gives 452556024400404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2993000004 + ... + 2993151204.

It is an arithmetic number, because the mean of its divisors is an integer number (6287264931780).

Almost surely, 2^{452556024400404} 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 452556024400404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603577433450880).

452556024400404 is an abundant number, since it is smaller than the sum of its proper divisors (754598842501356).

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

452556024400404 is a wasteful number, since it uses less digits than its factorization.

452556024400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154199 (or 154191 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 452556024400404 in words is "four hundred fifty-two trillion, five hundred fifty-six billion, twenty-four million, four hundred thousand, four hundred four".