477559680 has 384 divisors, whose sum is σ = 1762780320. Its totient is φ = 109264896.

The previous prime is 477559657. The next prime is 477559711. The reversal of 477559680 is 86955774.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9010534 + ... + 9010586.

Almost surely, 2^477559680 is an apocalyptic number.

477559680 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 477559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881390160).

477559680 is an abundant number, since it is smaller than the sum of its proper divisors (1285220640).

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

477559680 is a wasteful number, since it uses less digits than its factorization.

477559680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The square root of 477559680 is about 21853.1389049720. The cubic root of 477559680 is about 781.6443941040.

The spelling of 477559680 in words is "four hundred seventy-seven million, five hundred fifty-nine thousand, six hundred eighty".