477946552320 has 672 divisors, whose sum is σ = 1774711411200. Its totient is φ = 123261419520.

The previous prime is 477946552283. The next prime is 477946552337. The reversal of 477946552320 is 23255649774.

477946552320 is a `hidden beast` number, since 4 + 7 + 7 + 94 + 6 + 5 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308550906 + ... + 308552454.

It is an arithmetic number, because the mean of its divisors is an integer number (2640939600).

Almost surely, 2^477946552320 is an apocalyptic number.

477946552320 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 477946552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887355705600).

477946552320 is an abundant number, since it is smaller than the sum of its proper divisors (1296764858880).

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

477946552320 is an equidigital number, since it uses as much as digits as its factorization.

477946552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 477946552320 in words is "four hundred seventy-seven billion, nine hundred forty-six million, five hundred fifty-two thousand, three hundred twenty".