472900 has 18 divisors (see below), whose sum is σ = 1026410. Its totient is φ = 189120.

The previous prime is 472883. The next prime is 472907. The reversal of 472900 is 9274.

It can be written as a sum of positive squares in 3 ways, for example, as 2304 + 470596 = 48^2 + 686^2 .

It is not an unprimeable number, because it can be changed into a prime (472907) 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, 2265 + ... + 2464.

2⁴⁷²⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

472900 is an abundant number, since it is smaller than the sum of its proper divisors (553510).

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

472900 is a wasteful number, since it uses less digits than its factorization.

472900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4736 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 472900 is about 687.6772498782. The cubic root of 472900 is about 77.9093841396.

Subtracting from 472900 its sum of digits (22), we obtain a triangular number (472878 = T₉₇₂).

It can be divided in two parts, 4 and 72900, that multiplied together give a square (291600 = 540²).

The spelling of 472900 in words is "four hundred seventy-two thousand, nine hundred".