475553464400 has 240 divisors, whose sum is σ = 1384100161920. Its totient is φ = 153282969600.

The previous prime is 475553464343. The next prime is 475553464411. The reversal of 475553464400 is 4464355574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46214456 + ... + 46224744.

It is an arithmetic number, because the mean of its divisors is an integer number (5767084008).

Almost surely, 2^475553464400 is an apocalyptic number.

475553464400 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 475553464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692050080960).

475553464400 is an abundant number, since it is smaller than the sum of its proper divisors (908546697520).

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

475553464400 is a wasteful number, since it uses less digits than its factorization.

475553464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11302 (or 11291 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 47.

The spelling of 475553464400 in words is "four hundred seventy-five billion, five hundred fifty-three million, four hundred sixty-four thousand, four hundred".