474084576 has 480 divisors, whose sum is σ = 1778293440. Its totient is φ = 120766464.

The previous prime is 474084553. The next prime is 474084613. The reversal of 474084576 is 675480474.

474084576 is a `hidden beast` number, since 4 + 74 + 0 + 8 + 4 + 576 = 666.

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 79 ways as a sum of consecutive naturals, for example, 8944966 + ... + 8945018.

It is an arithmetic number, because the mean of its divisors is an integer number (3704778).

Almost surely, 2^474084576 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 474084576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889146720).

474084576 is an abundant number, since it is smaller than the sum of its proper divisors (1304208864).

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

474084576 is a wasteful number, since it uses less digits than its factorization.

474084576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 474084576 is about 21773.4833226106. The cubic root of 474084576 is about 779.7438211967.

It can be divided in two parts, 47408 and 4576, that added together give a square (51984 = 228²).

The spelling of 474084576 in words is "four hundred seventy-four million, eighty-four thousand, five hundred seventy-six".