476552847128400 has 240 divisors, whose sum is σ = 1938485867356800. Its totient is φ = 108926365040640.

The previous prime is 476552847128353. The next prime is 476552847128419. The reversal of 476552847128400 is 4821748255674.

476552847128400 is a `hidden beast` number, since 4 + 7 + 6 + 5 + 5 + 284 + 71 + 284 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×476552847128400² (a number of 30 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3151728945 + ... + 3151880144.

It is an arithmetic number, because the mean of its divisors is an integer number (8077024447320).

Almost surely, 2^{476552847128400} is an apocalyptic number.

476552847128400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476552847128400 is an abundant number, since it is smaller than the sum of its proper divisors (1461933020228400).

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

476552847128400 is a wasteful number, since it uses less digits than its factorization.

476552847128400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303609123 (or 6303609106 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 476552847128400 in words is "four hundred seventy-six trillion, five hundred fifty-two billion, eight hundred forty-seven million, one hundred twenty-eight thousand, four hundred".