477267264 has 168 divisors, whose sum is σ = 1414576800. Its totient is φ = 153787392.

The previous prime is 477267223. The next prime is 477267337. The reversal of 477267264 is 462762774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3203062 + ... + 3203210.

It is an arithmetic number, because the mean of its divisors is an integer number (8420100).

Almost surely, 2^477267264 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 477267264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707288400).

477267264 is an abundant number, since it is smaller than the sum of its proper divisors (937309536).

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

477267264 is a wasteful number, since it uses less digits than its factorization.

477267264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 304 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 477267264 is about 21846.4473999779. The cubic root of 477267264 is about 781.4848245230.

The spelling of 477267264 in words is "four hundred seventy-seven million, two hundred sixty-seven thousand, two hundred sixty-four".