475778960 has 80 divisors (see below), whose sum is σ = 1129253616. Its totient is φ = 186384384.

The previous prime is 475778909. The next prime is 475779011. The reversal of 475778960 is 69877574.

It is an interprime number because it is at equal distance from previous prime (475778909) and next prime (475779011).

It can be written as a sum of positive squares in 8 ways, for example, as 190096 + 475588864 = 436^2 + 21808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1500722 + ... + 1501038.

Almost surely, 2^475778960 is an apocalyptic number.

475778960 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 475778960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564626808).

475778960 is an abundant number, since it is smaller than the sum of its proper divisors (653474656).

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

475778960 is a wasteful number, since it uses less digits than its factorization.

475778960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The square root of 475778960 is about 21812.3579651536. The cubic root of 475778960 is about 780.6716546550.

The spelling of 475778960 in words is "four hundred seventy-five million, seven hundred seventy-eight thousand, nine hundred sixty".