92400800625 has 225 divisors, whose sum is σ = 201688853751. Its totient is φ = 42021504000.

The previous prime is 92400800623. The next prime is 92400800651. The reversal of 92400800625 is 52600800429.

It is a happy number.

The square root of 92400800625 is 303975.

It is a perfect power (a square), and thus also a powerful number.

92400800625 is a `hidden beast` number, since 9 + 24 + 0 + 0 + 8 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 87563319921 + 4837480704 = 295911^2 + 69552^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 92400800625 - 2¹ = 92400800623 is a prime.

It is a super-2 number, since 2×92400800625² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 92400800625.

It is not an unprimeable number, because it can be changed into a prime (92400800623) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 478760529 + ... + 478760721.

Almost surely, 2^92400800625 is an apocalyptic number.

92400800625 is the 303975-th square number.

92400800625 is the 151988-th centered octagonal number.

It is an amenable number.

92400800625 is an abundant number, since it is smaller than the sum of its proper divisors (109288053126).

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

92400800625 is an frugal number, since it uses more digits than its factorization.

92400800625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 92400800625 by its sum of digits (36), we get a square (3326428822500 = 1823850²).

It can be divided in two parts, 92400 and 800625, that added together give a square (893025 = 945²).

The spelling of 92400800625 in words is "ninety-two billion, four hundred million, eight hundred thousand, six hundred twenty-five".