477961344 has 256 divisors, whose sum is σ = 1684224000. Its totient is φ = 130470912.

The previous prime is 477961343. The next prime is 477961381. The reversal of 477961344 is 443169774.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 477961344.

It is not an unprimeable number, because it can be changed into a prime (477961343) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 555987 + ... + 556845.

It is an arithmetic number, because the mean of its divisors is an integer number (6579000).

Almost surely, 2^477961344 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 477961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842112000).

477961344 is an abundant number, since it is smaller than the sum of its proper divisors (1206262656).

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

477961344 is a wasteful number, since it uses less digits than its factorization.

477961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 894 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 477961344 is about 21862.3270490586. The cubic root of 477961344 is about 781.8634734828.

The spelling of 477961344 in words is "four hundred seventy-seven million, nine hundred sixty-one thousand, three hundred forty-four".