472192900 has 81 divisors (see below), whose sum is σ = 1070449933. Its totient is φ = 180793600.

The previous prime is 472192849. The next prime is 472192909. The reversal of 472192900 is 9291274.

It is a happy number.

The square root of 472192900 is 21730.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 428738436 + 43454464 = 20706^2 + 6592^2 .

It is a super-2 number, since 2×472192900² = 445932269620820000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (472192909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8909274 + ... + 8909326.

Almost surely, 2^472192900 is an apocalyptic number.

472192900 is the 21730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472192900

472192900 is an abundant number, since it is smaller than the sum of its proper divisors (598257033).

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

472192900 is a wasteful number, since it uses less digits than its factorization.

472192900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The cubic root of 472192900 is about 778.7053363850.

The spelling of 472192900 in words is "four hundred seventy-two million, one hundred ninety-two thousand, nine hundred".