477956160 has 448 divisors, whose sum is σ = 1896099840. Its totient is φ = 112343040.

The previous prime is 477956159. The next prime is 477956177. The reversal of 477956160 is 61659774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4466827 + ... + 4466933.

Almost surely, 2^477956160 is an apocalyptic number.

477956160 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 477956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948049920).

477956160 is an abundant number, since it is smaller than the sum of its proper divisors (1418143680).

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

477956160 is a wasteful number, since it uses less digits than its factorization.

477956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 477956160 is about 21862.2084886226. The cubic root of 477956160 is about 781.8606467585.

The spelling of 477956160 in words is "four hundred seventy-seven million, nine hundred fifty-six thousand, one hundred sixty".