476914464 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 134701056.

The previous prime is 476914441. The next prime is 476914489. The reversal of 476914464 is 464419674.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3755169 + ... + 3755295.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^476914464 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 476914464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

476914464 is an abundant number, since it is smaller than the sum of its proper divisors (1108145376).

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

476914464 is a wasteful number, since it uses less digits than its factorization.

476914464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 476914464 is about 21838.3713678470. The cubic root of 476914464 is about 781.2922169912.

The spelling of 476914464 in words is "four hundred seventy-six million, nine hundred fourteen thousand, four hundred sixty-four".