474412560 has 80 divisors (see below), whose sum is σ = 1481363520. Its totient is φ = 125591040.

The previous prime is 474412529. The next prime is 474412567. The reversal of 474412560 is 65214474.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (474412567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26250 + ... + 40470.

It is an arithmetic number, because the mean of its divisors is an integer number (18517044).

Almost surely, 2^474412560 is an apocalyptic number.

474412560 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 474412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740681760).

474412560 is an abundant number, since it is smaller than the sum of its proper divisors (1006950960).

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

474412560 is a wasteful number, since it uses less digits than its factorization.

474412560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14376 (or 14370 counting only the distinct ones).

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

The square root of 474412560 is about 21781.0137505122. The cubic root of 474412560 is about 779.9235954089.

The spelling of 474412560 in words is "four hundred seventy-four million, four hundred twelve thousand, five hundred sixty".