473932800 has 594 divisors, whose sum is σ = 1974908754. Its totient is φ = 108134400.

The previous prime is 473932777. The next prime is 473932813. The reversal of 473932800 is 8239374.

It can be written as a sum of positive squares in 3 ways, for example, as 71368704 + 402564096 = 8448^2 + 20064^2 .

It is a super-2 number, since 2×473932800² = 449224597831680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27878392 + ... + 27878408.

Almost surely, 2^473932800 is an apocalyptic number.

473932800 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 473932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987454377).

473932800 is an abundant number, since it is smaller than the sum of its proper divisors (1500975954).

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

473932800 is a wasteful number, since it uses less digits than its factorization.

473932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 473932800 is about 21769.9977032612. The cubic root of 473932800 is about 779.6606018474.

The spelling of 473932800 in words is "four hundred seventy-three million, nine hundred thirty-two thousand, eight hundred".