474976800 has 216 divisors, whose sum is σ = 1716804180. Its totient is φ = 123494400.

The previous prime is 474976793. The next prime is 474976811. The reversal of 474976800 is 8679474.

It can be written as a sum of positive squares in 6 ways, for example, as 187470864 + 287505936 = 13692^2 + 16956^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 294396 + ... + 296004.

Almost surely, 2^474976800 is an apocalyptic number.

474976800 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 474976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858402090).

474976800 is an abundant number, since it is smaller than the sum of its proper divisors (1241827380).

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

474976800 is a wasteful number, since it uses less digits than its factorization.

474976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 474976800 is about 21793.9624667016. The cubic root of 474976800 is about 780.2326722049.

The spelling of 474976800 in words is "four hundred seventy-four million, nine hundred seventy-six thousand, eight hundred".