476520 has 96 divisors (see below), whose sum is σ = 1645920. Its totient is φ = 109440.

The previous prime is 476519. The next prime is 476579. The reversal of 476520 is 25674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 25071 + ... + 25089.

It is an arithmetic number, because the mean of its divisors is an integer number (17145).

476520 is a Friedman number, since it can be written as 760*(5^4+2), using all its digits and the basic arithmetic operations.

2⁴⁷⁶⁵²⁰ is an apocalyptic number.

476520 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 476520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960).

476520 is an abundant number, since it is smaller than the sum of its proper divisors (1169400).

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

476520 is a wasteful number, since it uses less digits than its factorization.

476520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 476520 is about 690.3042807342. The cubic root of 476520 is about 78.1076750917.

The spelling of 476520 in words is "four hundred seventy-six thousand, five hundred twenty".