476963520 has 336 divisors, whose sum is σ = 1743358464. Its totient is φ = 109516800.

The previous prime is 476963507. The next prime is 476963561. The reversal of 476963520 is 25369674.

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, 10148137 + ... + 10148183.

Almost surely, 2^476963520 is an apocalyptic number.

476963520 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 476963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871679232).

476963520 is an abundant number, since it is smaller than the sum of its proper divisors (1266394944).

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

476963520 is a wasteful number, since it uses less digits than its factorization.

476963520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 476963520 is about 21839.4944996444. The cubic root of 476963520 is about 781.3190042943.

The spelling of 476963520 in words is "four hundred seventy-six million, nine hundred sixty-three thousand, five hundred twenty".