474396960 has 96 divisors (see below), whose sum is σ = 1499057280. Its totient is φ = 126107648.

The previous prime is 474396929. The next prime is 474396961. The reversal of 474396960 is 69693474.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (474396961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170944 + ... + 173696.

It is an arithmetic number, because the mean of its divisors is an integer number (15615180).

Almost surely, 2^474396960 is an apocalyptic number.

474396960 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 474396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749528640).

474396960 is an abundant number, since it is smaller than the sum of its proper divisors (1024660320).

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

474396960 is a wasteful number, since it uses less digits than its factorization.

474396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 474396960 is about 21780.6556375147. The cubic root of 474396960 is about 779.9150466320.

The spelling of 474396960 in words is "four hundred seventy-four million, three hundred ninety-six thousand, nine hundred sixty".