472842240 has 272 divisors, whose sum is σ = 1673514528. Its totient is φ = 113246208.

The previous prime is 472842239. The next prime is 472842247. The reversal of 472842240 is 42248274.

472842240 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472842247) 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, 12779502 + ... + 12779538.

Almost surely, 2^472842240 is an apocalyptic number.

472842240 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 472842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836757264).

472842240 is an abundant number, since it is smaller than the sum of its proper divisors (1200672288).

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

472842240 is an equidigital number, since it uses as much as digits as its factorization.

472842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 472842240 is about 21744.9359621959. The cubic root of 472842240 is about 779.0621206002.

The spelling of 472842240 in words is "four hundred seventy-two million, eight hundred forty-two thousand, two hundred forty".