476536720 has 120 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 164102400.

The previous prime is 476536703. The next prime is 476536733. The reversal of 476536720 is 27635674.

It is a super-3 number, since 3×476536720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182625 + ... + 185215.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2^476536720 is an apocalyptic number.

476536720 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 476536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

476536720 is an abundant number, since it is smaller than the sum of its proper divisors (805881200).

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

476536720 is a wasteful number, since it uses less digits than its factorization.

476536720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 476536720 is about 21829.7210243283. The cubic root of 476536720 is about 781.0858862104.

The spelling of 476536720 in words is "four hundred seventy-six million, five hundred thirty-six thousand, seven hundred twenty".