475904408918400 has 6144 divisors, whose sum is σ = 2391892623360000. Its totient is φ = 89367183360000.

The previous prime is 475904408918363. The next prime is 475904408918507. The reversal of 475904408918400 is 4819804409574.

475904408918400 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 0 + 440 + 8 + 9 + 184 + 0 + 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 767 ways as a sum of consecutive naturals, for example, 522397813945 + ... + 522397814855.

It is an arithmetic number, because the mean of its divisors is an integer number (389305440000).

Almost surely, 2^{475904408918400} is an apocalyptic number.

475904408918400 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 475904408918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195946311680000).

475904408918400 is an abundant number, since it is smaller than the sum of its proper divisors (1915988214441600).

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

475904408918400 is a wasteful number, since it uses less digits than its factorization.

475904408918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 475904408918400 in words is "four hundred seventy-five trillion, nine hundred four billion, four hundred eight million, nine hundred eighteen thousand, four hundred".