472121800 has 24 divisors (see below), whose sum is σ = 1097683650. Its totient is φ = 188848640.

The previous prime is 472121791. The next prime is 472121803. The reversal of 472121800 is 8121274.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 254913156 + 217208644 = 15966^2 + 14738^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (472121803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1180105 + ... + 1180504.

Almost surely, 2^472121800 is an apocalyptic number.

472121800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472121800 is an abundant number, since it is smaller than the sum of its proper divisors (625561850).

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

472121800 is a wasteful number, since it uses less digits than its factorization.

472121800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2360625 (or 2360616 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 472121800 is about 21728.3639512965. The cubic root of 472121800 is about 778.6662501496. Note that the first 3 decimals are identical.

The spelling of 472121800 in words is "four hundred seventy-two million, one hundred twenty-one thousand, eight hundred".