475490560 has 144 divisors (see below), whose sum is σ = 1194709824. Its totient is φ = 181149696.

The previous prime is 475490557. The next prime is 475490573. The reversal of 475490560 is 65094574.

It is a super-2 number, since 2×475490560² = 452182545298227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2917039 + ... + 2917201.

It is an arithmetic number, because the mean of its divisors is an integer number (8296596).

Almost surely, 2^475490560 is an apocalyptic number.

475490560 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 475490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597354912).

475490560 is an abundant number, since it is smaller than the sum of its proper divisors (719219264).

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

475490560 is a wasteful number, since it uses less digits than its factorization.

475490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 475490560 is about 21805.7460317229. The cubic root of 475490560 is about 780.5138844639.

The spelling of 475490560 in words is "four hundred seventy-five million, four hundred ninety thousand, five hundred sixty".