474292560 has 240 divisors, whose sum is σ = 1766886912. Its totient is φ = 104832000.

The previous prime is 474292519. The next prime is 474292561. The reversal of 474292560 is 65292474.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474292561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363910 + ... + 365210.

Almost surely, 2^474292560 is an apocalyptic number.

474292560 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 474292560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883443456).

474292560 is an abundant number, since it is smaller than the sum of its proper divisors (1292594352).

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

474292560 is a wasteful number, since it uses less digits than its factorization.

474292560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 474292560 is about 21778.2588835747. The cubic root of 474292560 is about 779.8578307619.

The spelling of 474292560 in words is "four hundred seventy-four million, two hundred ninety-two thousand, five hundred sixty".