475480320 has 432 divisors, whose sum is σ = 1869033600. Its totient is φ = 102961152.

The previous prime is 475480319. The next prime is 475480337. The reversal of 475480320 is 23084574.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25025271 + ... + 25025289.

Almost surely, 2^475480320 is an apocalyptic number.

475480320 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 475480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934516800).

475480320 is an abundant number, since it is smaller than the sum of its proper divisors (1393553280).

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

475480320 is an equidigital number, since it uses as much as digits as its factorization.

475480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 475480320 is about 21805.5112299620. The cubic root of 475480320 is about 780.5082814648.

Multiplying 475480320 by its product of nonzero digits (26880), we get a square (12780911001600 = 3575040²).

475480320 divided by its product of nonzero digits (26880) gives a square (17689 = 133²).

It can be divided in two parts, 475480 and 320, that added together give a triangular number (475800 = T₉₇₅).

The spelling of 475480320 in words is "four hundred seventy-five million, four hundred eighty thousand, three hundred twenty".