472934800 has 120 divisors (see below), whose sum is σ = 1236906944. Its totient is φ = 172730880.

The previous prime is 472934789. The next prime is 472934801. The reversal of 472934800 is 8439274.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 472934800.

It is not an unprimeable number, because it can be changed into a prime (472934801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535159 + ... + 536041.

Almost surely, 2^472934800 is an apocalyptic number.

472934800 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 472934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618453472).

472934800 is an abundant number, since it is smaller than the sum of its proper divisors (763972144).

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

472934800 is a wasteful number, since it uses less digits than its factorization.

472934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 472934800 is about 21747.0641696759. The cubic root of 472934800 is about 779.1129517083.

The spelling of 472934800 in words is "four hundred seventy-two million, nine hundred thirty-four thousand, eight hundred".