476681360 has 80 divisors (see below), whose sum is σ = 1205320176. Its totient is φ = 174587904.

The previous prime is 476681353. The next prime is 476681363. The reversal of 476681360 is 63186674.

It can be written as a sum of positive squares in 8 ways, for example, as 158558464 + 318122896 = 12592^2 + 17836^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (476681363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45584 + ... + 55056.

Almost surely, 2^476681360 is an apocalyptic number.

476681360 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 476681360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602660088).

476681360 is an abundant number, since it is smaller than the sum of its proper divisors (728638816).

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

476681360 is a wasteful number, since it uses less digits than its factorization.

476681360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9540 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 476681360 is about 21833.0336875112. The cubic root of 476681360 is about 781.1649041395.

The spelling of 476681360 in words is "four hundred seventy-six million, six hundred eighty-one thousand, three hundred sixty".