473545800 has 576 divisors, whose sum is σ = 2031120000. Its totient is φ = 98219520.

The previous prime is 473545783. The next prime is 473545811. The reversal of 473545800 is 8545374.

473545800 is a `hidden beast` number, since 4 + 73 + 5 + 4 + 580 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 8026171 + ... + 8026229.

It is an arithmetic number, because the mean of its divisors is an integer number (3526250).

Almost surely, 2^473545800 is an apocalyptic number.

473545800 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 473545800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1015560000).

473545800 is an abundant number, since it is smaller than the sum of its proper divisors (1557574200).

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

473545800 is a wasteful number, since it uses less digits than its factorization.

473545800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 473545800 is about 21761.1075085805. The cubic root of 473545800 is about 779.4483278585.

The spelling of 473545800 in words is "four hundred seventy-three million, five hundred forty-five thousand, eight hundred".