475320960 has 320 divisors, whose sum is σ = 1739481480. Its totient is φ = 123641856.

The previous prime is 475320949. The next prime is 475320973. The reversal of 475320960 is 69023574.

It can be written as a sum of positive squares in 4 ways, for example, as 469675584 + 5645376 = 21672^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747434 + ... + 2747606.

Almost surely, 2^475320960 is an apocalyptic number.

475320960 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 475320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869740740).

475320960 is an abundant number, since it is smaller than the sum of its proper divisors (1264160520).

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

475320960 is a wasteful number, since it uses less digits than its factorization.

475320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 475320960 is about 21801.8568016580. The cubic root of 475320960 is about 780.4210744218.

The spelling of 475320960 in words is "four hundred seventy-five million, three hundred twenty thousand, nine hundred sixty".