474808320 has 408 divisors, whose sum is σ = 1962919296. Its totient is φ = 103809024.

The previous prime is 474808303. The next prime is 474808357. The reversal of 474808320 is 23808474.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20643829 + ... + 20643851.

Almost surely, 2^474808320 is an apocalyptic number.

474808320 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 474808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981459648).

474808320 is an abundant number, since it is smaller than the sum of its proper divisors (1488110976).

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

474808320 is an equidigital number, since it uses as much as digits as its factorization.

474808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 474808320 is about 21790.0968331947. The cubic root of 474808320 is about 780.1404086484.

The spelling of 474808320 in words is "four hundred seventy-four million, eight hundred eight thousand, three hundred twenty".