472458240 has 132 divisors (see below), whose sum is σ = 1637215164. Its totient is φ = 125976576.

The previous prime is 472458229. The next prime is 472458247. The reversal of 472458240 is 42854274.

472458240 is a `hidden beast` number, since 4 + 72 + 4 + 582 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107495424 + 364962816 = 10368^2 + 19104^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 472458195 and 472458204.

It is not an unprimeable number, because it can be changed into a prime (472458247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40954 + ... + 51206.

Almost surely, 2^472458240 is an apocalyptic number.

472458240 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 472458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818607582).

472458240 is an abundant number, since it is smaller than the sum of its proper divisors (1164756924).

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

472458240 is a wasteful number, since it uses less digits than its factorization.

472458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10263 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 472458240 is about 21736.1045268006. The cubic root of 472458240 is about 778.8511687229.

The spelling of 472458240 in words is "four hundred seventy-two million, four hundred fifty-eight thousand, two hundred forty".