476948081400 has 192 divisors, whose sum is σ = 1778693894400. Its totient is φ = 103278965760.

The previous prime is 476948081399. The next prime is 476948081431. The reversal of 476948081400 is 4180849674.

It is a super-2 number, since 2×476948081400² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2908597 + ... + 3068196.

It is an arithmetic number, because the mean of its divisors is an integer number (9264030700).

Almost surely, 2^476948081400 is an apocalyptic number.

476948081400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

476948081400 is an abundant number, since it is smaller than the sum of its proper divisors (1301745813000).

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

476948081400 is a wasteful number, since it uses less digits than its factorization.

476948081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976838 (or 5976829 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 476948081400 in words is "four hundred seventy-six billion, nine hundred forty-eight million, eighty-one thousand, four hundred".