476237664 has 192 divisors, whose sum is σ = 1620864000. Its totient is φ = 135983232.

The previous prime is 476237651. The next prime is 476237689. The reversal of 476237664 is 466732674.

It is a super-2 number, since 2×476237664² = 453604625224353792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295549 + ... + 297155.

It is an arithmetic number, because the mean of its divisors is an integer number (8442000).

Almost surely, 2^476237664 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 476237664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810432000).

476237664 is an abundant number, since it is smaller than the sum of its proper divisors (1144626336).

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

476237664 is a wasteful number, since it uses less digits than its factorization.

476237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1619 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 476237664 is about 21822.8702053602. The cubic root of 476237664 is about 780.9224589293.

The spelling of 476237664 in words is "four hundred seventy-six million, two hundred thirty-seven thousand, six hundred sixty-four".