476824320 has 504 divisors, whose sum is σ = 1983873696. Its totient is φ = 107495424.

The previous prime is 476824319. The next prime is 476824331. The reversal of 476824320 is 23428674.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×476824320² = 454722864286924800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531804 + ... + 6531876.

Almost surely, 2^476824320 is an apocalyptic number.

476824320 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 476824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991936848).

476824320 is an abundant number, since it is smaller than the sum of its proper divisors (1507049376).

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

476824320 is an frugal number, since it uses more digits than its factorization.

476824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 476824320 is about 21836.3073801410. The cubic root of 476824320 is about 781.2429885664.

The spelling of 476824320 in words is "four hundred seventy-six million, eight hundred twenty-four thousand, three hundred twenty".