477987264 has 112 divisors (see below), whose sum is σ = 1450685440. Its totient is φ = 154172160.

The previous prime is 477987253. The next prime is 477987271. The reversal of 477987264 is 462789774.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 477987264.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49107 + ... + 58029.

Almost surely, 2^477987264 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 477987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725342720).

477987264 is an abundant number, since it is smaller than the sum of its proper divisors (972698176).

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

477987264 is a wasteful number, since it uses less digits than its factorization.

477987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8975 (or 8959 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 477987264 is about 21862.9198415948. The cubic root of 477987264 is about 781.8776067979.

The spelling of 477987264 in words is "four hundred seventy-seven million, nine hundred eighty-seven thousand, two hundred sixty-four".