404405610525 has 288 divisors, whose sum is σ = 944592399360. Its totient is φ = 168376320000.

The previous prime is 404405610487. The next prime is 404405610541. The reversal of 404405610525 is 525016504404.

404405610525 is a `hidden beast` number, since 4 + 0 + 4 + 40 + 561 + 0 + 52 + 5 = 666.

404405610525 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 404405610525 - 2¹³ = 404405602333 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 404405610525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 17418925 + ... + 17442125.

It is an arithmetic number, because the mean of its divisors is an integer number (3279834720).

Almost surely, 2^404405610525 is an apocalyptic number.

404405610525 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

404405610525 is an abundant number, since it is smaller than the sum of its proper divisors (540186788835).

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

404405610525 is a wasteful number, since it uses less digits than its factorization.

404405610525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23282 (or 23264 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 404405610525 in words is "four hundred four billion, four hundred five million, six hundred ten thousand, five hundred twenty-five".