473576800 has 72 divisors (see below), whose sum is σ = 1159988256. Its totient is φ = 188797440.

The previous prime is 473576749. The next prime is 473576813. The reversal of 473576800 is 8675374.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 292794 + ... + 294406.

It is an arithmetic number, because the mean of its divisors is an integer number (16110948).

Almost surely, 2^473576800 is an apocalyptic number.

473576800 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 473576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579994128).

473576800 is an abundant number, since it is smaller than the sum of its proper divisors (686411456).

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

473576800 is a wasteful number, since it uses less digits than its factorization.

473576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 473576800 is about 21761.8197768477. The cubic root of 473576800 is about 779.4653359781.

The spelling of 473576800 in words is "four hundred seventy-three million, five hundred seventy-six thousand, eight hundred".