474616800 has 576 divisors, whose sum is σ = 2034869760. Its totient is φ = 104509440.

The previous prime is 474616787. The next prime is 474616801. The reversal of 474616800 is 8616474.

It is a super-2 number, since 2×474616800² = 450522213684480000, 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 not an unprimeable number, because it can be changed into a prime (474616801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6501564 + ... + 6501636.

It is an arithmetic number, because the mean of its divisors is an integer number (3532760).

Almost surely, 2^474616800 is an apocalyptic number.

474616800 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 474616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017434880).

474616800 is an abundant number, since it is smaller than the sum of its proper divisors (1560252960).

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

474616800 is a wasteful number, since it uses less digits than its factorization.

474616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 474616800 is about 21785.7017330175. The cubic root of 474616800 is about 780.0355013427.

The spelling of 474616800 in words is "four hundred seventy-four million, six hundred sixteen thousand, eight hundred".