477312 has 64 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 143360.

The previous prime is 477293. The next prime is 477313. The reversal of 477312 is 213774.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×477312³ = 326233318420905984, which contains 333 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477312.

It is not an unprimeable number, because it can be changed into a prime (477313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4168 + ... + 4280.

2⁴⁷⁷³¹² 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 477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

477312 is an abundant number, since it is smaller than the sum of its proper divisors (918048).

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

477312 is a wasteful number, since it uses less digits than its factorization.

477312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 477312 is about 690.8777026363. The cubic root of 477312 is about 78.1509240900.

The spelling of 477312 in words is "four hundred seventy-seven thousand, three hundred twelve", and thus it is an iban number.