476813440 has 64 divisors (see below), whose sum is σ = 1161471960. Its totient is φ = 187113472.

The previous prime is 476813429. The next prime is 476813453. The reversal of 476813440 is 44318674.

It can be written as a sum of positive squares in 4 ways, for example, as 301091904 + 175721536 = 17352^2 + 13256^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 476813440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26892 + ... + 40948.

Almost surely, 2^476813440 is an apocalyptic number.

476813440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580735980).

476813440 is an abundant number, since it is smaller than the sum of its proper divisors (684658520).

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

476813440 is a wasteful number, since it uses less digits than its factorization.

476813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14129 (or 14117 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 476813440 is about 21836.0582523495. The cubic root of 476813440 is about 781.2370464839.

The spelling of 476813440 in words is "four hundred seventy-six million, eight hundred thirteen thousand, four hundred forty".