477942720 has 112 divisors (see below), whose sum is σ = 1597395840. Its totient is φ = 120738816.

The previous prime is 477942719. The next prime is 477942733. The reversal of 477942720 is 27249774.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5139 + ... + 31341.

Almost surely, 2^477942720 is an apocalyptic number.

477942720 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 477942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798697920).

477942720 is an abundant number, since it is smaller than the sum of its proper divisors (1119453120).

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

477942720 is a wasteful number, since it uses less digits than its factorization.

477942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26242 (or 26232 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 477942720 is about 21861.9011067199. The cubic root of 477942720 is about 781.8533181187.

The spelling of 477942720 in words is "four hundred seventy-seven million, nine hundred forty-two thousand, seven hundred twenty".