474810336 has 576 divisors, whose sum is σ = 1910877696. Its totient is φ = 111974400.

The previous prime is 474810319. The next prime is 474810341. The reversal of 474810336 is 633018474.

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

It is a self number, because there is not a number n which added to its sum of digits gives 474810336.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7783746 + ... + 7783806.

It is an arithmetic number, because the mean of its divisors is an integer number (3317496).

Almost surely, 2^474810336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474810336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

474810336 is an abundant number, since it is smaller than the sum of its proper divisors (1436067360).

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

474810336 is a wasteful number, since it uses less digits than its factorization.

474810336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 474810336 is about 21790.1430926922. The cubic root of 474810336 is about 780.1415127858.

The spelling of 474810336 in words is "four hundred seventy-four million, eight hundred ten thousand, three hundred thirty-six".