477255234720 has 192 divisors, whose sum is σ = 1640668224384. Its totient is φ = 115652689920.

The previous prime is 477255234713. The next prime is 477255234733. The reversal of 477255234720 is 27432552774.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 477255234720.

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 31 ways as a sum of consecutive naturals, for example, 14519424 + ... + 14552256.

It is an arithmetic number, because the mean of its divisors is an integer number (8545147002).

Almost surely, 2^477255234720 is an apocalyptic number.

477255234720 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 477255234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820334112192).

477255234720 is an abundant number, since it is smaller than the sum of its proper divisors (1163412989664).

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

477255234720 is a wasteful number, since it uses less digits than its factorization.

477255234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35615 (or 35607 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 48.

The spelling of 477255234720 in words is "four hundred seventy-seven billion, two hundred fifty-five million, two hundred thirty-four thousand, seven hundred twenty".