474880320 has 336 divisors, whose sum is σ = 1757403648. Its totient is φ = 121927680.

The previous prime is 474880313. The next prime is 474880331. The reversal of 474880320 is 23088474.

It is a super-2 number, since 2×474880320² = 451022636646604800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410462 + ... + 2410658.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^474880320 is an apocalyptic number.

474880320 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 474880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878701824).

474880320 is an abundant number, since it is smaller than the sum of its proper divisors (1282523328).

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

474880320 is a wasteful number, since it uses less digits than its factorization.

474880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

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

The square root of 474880320 is about 21791.7488972317. The cubic root of 474880320 is about 780.1798401889.

The spelling of 474880320 in words is "four hundred seventy-four million, eight hundred eighty thousand, three hundred twenty".