472096900 has 72 divisors (see below), whose sum is σ = 1124865504. Its totient is φ = 170553600.

The previous prime is 472096813. The next prime is 472096901. The reversal of 472096900 is 9690274.

It is a super-2 number, since 2×472096900² = 445750965979220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 472096900.

It is not an unprimeable number, because it can be changed into a prime (472096901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177984 + ... + 180616.

It is an arithmetic number, because the mean of its divisors is an integer number (15623132).

Almost surely, 2^472096900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472096900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562432752).

472096900 is an abundant number, since it is smaller than the sum of its proper divisors (652768604).

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

472096900 is a wasteful number, since it uses less digits than its factorization.

472096900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 472096900 is about 21727.7909599665. The cubic root of 472096900 is about 778.6525607934.

The spelling of 472096900 in words is "four hundred seventy-two million, ninety-six thousand, nine hundred".