473072400 has 360 divisors, whose sum is σ = 1768609024. Its totient is φ = 121305600.

The previous prime is 473072399. The next prime is 473072407. The reversal of 473072400 is 4270374.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (473072407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3013122 + ... + 3013278.

Almost surely, 2^473072400 is an apocalyptic number.

473072400 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 473072400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884304512).

473072400 is an abundant number, since it is smaller than the sum of its proper divisors (1295536624).

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

473072400 is a wasteful number, since it uses less digits than its factorization.

473072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 473072400 is about 21750.2275850162. The cubic root of 473072400 is about 779.1885051438.

The spelling of 473072400 in words is "four hundred seventy-three million, seventy-two thousand, four hundred".