477264 has 40 divisors (see below), whose sum is σ = 1260832. Its totient is φ = 155520.

The previous prime is 477259. The next prime is 477277. The reversal of 477264 is 462774.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 477264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2847 + ... + 3009.

2⁴⁷⁷²⁶⁴ 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 477264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630416).

477264 is an abundant number, since it is smaller than the sum of its proper divisors (783568).

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

477264 is a wasteful number, since it uses less digits than its factorization.

477264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 229 counting only the distinct ones).

The product of its digits is 9408, while the sum is 30.

The square root of 477264 is about 690.8429633426. The cubic root of 477264 is about 78.1483043011.

Subtracting from 477264 its product of digits (9408), we obtain a square (467856 = 684²).

It can be divided in two parts, 477 and 264, that added together give a triangular number (741 = T₃₈).

The spelling of 477264 in words is "four hundred seventy-seven thousand, two hundred sixty-four".