477610560 has 448 divisors, whose sum is σ = 1975104000. Its totient is φ = 106389504.

The previous prime is 477610559. The next prime is 477610561. The reversal of 477610560 is 65016774.

It is an interprime number because it is at equal distance from previous prime (477610559) and next prime (477610561).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×477610560² = 456223694047027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (477610561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3205366 + ... + 3205514.

Almost surely, 2^477610560 is an apocalyptic number.

477610560 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 477610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987552000).

477610560 is an abundant number, since it is smaller than the sum of its proper divisors (1497493440).

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

477610560 is a wasteful number, since it uses less digits than its factorization.

477610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 477610560 is about 21854.3030087898. The cubic root of 477610560 is about 781.6721523481.

The spelling of 477610560 in words is "four hundred seventy-seven million, six hundred ten thousand, five hundred sixty".