472992 has 48 divisors (see below), whose sum is σ = 1340640. Its totient is φ = 145152.

The previous prime is 472963. The next prime is 472993. The reversal of 472992 is 299274.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 472992.

It is not an unprimeable number, because it can be changed into a prime (472993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1059 + ... + 1437.

It is an arithmetic number, because the mean of its divisors is an integer number (27930).

2⁴⁷²⁹⁹² 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 472992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670320).

472992 is an abundant number, since it is smaller than the sum of its proper divisors (867648).

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

472992 is a wasteful number, since it uses less digits than its factorization.

472992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 472992 is about 687.7441384701. The cubic root of 472992 is about 77.9144360875.

The spelling of 472992 in words is "four hundred seventy-two thousand, nine hundred ninety-two".