472488000 has 112 divisors (see below), whose sum is σ = 1560234624. Its totient is φ = 125990400.

The previous prime is 472487893. The next prime is 472488001. The reversal of 472488000 is 884274.

It is not an unprimeable number, because it can be changed into a prime (472488001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14157 + ... + 33843.

Almost surely, 2^472488000 is an apocalyptic number.

472488000 is a gapful number since it is divisible by the number (40) 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 472488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780117312).

472488000 is an abundant number, since it is smaller than the sum of its proper divisors (1087746624).

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

472488000 is a wasteful number, since it uses less digits than its factorization.

472488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19717 (or 19697 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 472488000 is about 21736.7890913079. The cubic root of 472488000 is about 778.8675215785.

The spelling of 472488000 in words is "four hundred seventy-two million, four hundred eighty-eight thousand".