472400496 has 120 divisors (see below), whose sum is σ = 1452347520. Its totient is φ = 142674048.

The previous prime is 472400479. The next prime is 472400507. The reversal of 472400496 is 694004274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 472400496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59175 + ... + 66681.

It is an arithmetic number, because the mean of its divisors is an integer number (12102896).

Almost surely, 2^472400496 is an apocalyptic number.

472400496 is a gapful number since it is divisible by the number (46) 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 472400496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726173760).

472400496 is an abundant number, since it is smaller than the sum of its proper divisors (979947024).

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

472400496 is a wasteful number, since it uses less digits than its factorization.

472400496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 472400496 is about 21734.7761893239. The cubic root of 472400496 is about 778.8194369490.

The spelling of 472400496 in words is "four hundred seventy-two million, four hundred thousand, four hundred ninety-six".