476064 has 96 divisors (see below), whose sum is σ = 1512000. Its totient is φ = 145152.

The previous prime is 476059. The next prime is 476081. The reversal of 476064 is 460674.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 476064.

It is an unprimeable number.

476064 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16402 + ... + 16430.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2⁴⁷⁶⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756000).

476064 is an abundant number, since it is smaller than the sum of its proper divisors (1035936).

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

476064 is a wasteful number, since it uses less digits than its factorization.

476064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 476064 is about 689.9739125503. The cubic root of 476064 is about 78.0827524113.

The spelling of 476064 in words is "four hundred seventy-six thousand, sixty-four".