472372992 has 288 divisors, whose sum is σ = 1721538560. Its totient is φ = 124416000.

The previous prime is 472372991. The next prime is 472372997. The reversal of 472372992 is 299273274.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472372991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628617 + ... + 629367.

Almost surely, 2^472372992 is an apocalyptic number.

472372992 is a gapful number since it is divisible by the number (42) 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 472372992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860769280).

472372992 is an abundant number, since it is smaller than the sum of its proper divisors (1249165568).

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

472372992 is a wasteful number, since it uses less digits than its factorization.

472372992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 776 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 472372992 is about 21734.1434613835. The cubic root of 472372992 is about 778.8043219031.

The spelling of 472372992 in words is "four hundred seventy-two million, three hundred seventy-two thousand, nine hundred ninety-two".