472240440 has 288 divisors, whose sum is σ = 1880658000. Its totient is φ = 102187008.

The previous prime is 472240427. The next prime is 472240469. The reversal of 472240440 is 44042274.

It is a super-2 number, since 2×472240440² = 446022066342787200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 334456 + ... + 335864.

Almost surely, 2^472240440 is an apocalyptic number.

472240440 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 472240440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940329000).

472240440 is an abundant number, since it is smaller than the sum of its proper divisors (1408417560).

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

472240440 is a wasteful number, since it uses less digits than its factorization.

472240440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 472240440 is about 21731.0938518980. The cubic root of 472240440 is about 778.7314686496.

The spelling of 472240440 in words is "four hundred seventy-two million, two hundred forty thousand, four hundred forty".