477400560 has 160 divisors (see below), whose sum is σ = 1821550080. Its totient is φ = 100721664.

The previous prime is 477400559. The next prime is 477400601. The reversal of 477400560 is 65004774.

It is a super-2 number, since 2×477400560² = 455822589376627200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10911 + ... + 32769.

It is an arithmetic number, because the mean of its divisors is an integer number (11384688).

Almost surely, 2^477400560 is an apocalyptic number.

477400560 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 477400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910775040).

477400560 is an abundant number, since it is smaller than the sum of its proper divisors (1344149520).

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

477400560 is a wasteful number, since it uses less digits than its factorization.

477400560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895 (or 21889 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 477400560 is about 21849.4979347353. The cubic root of 477400560 is about 781.5575713972.

The spelling of 477400560 in words is "four hundred seventy-seven million, four hundred thousand, five hundred sixty".