472384440 has 256 divisors, whose sum is σ = 1819584000. Its totient is φ = 107735040.

The previous prime is 472384397. The next prime is 472384481. The reversal of 472384440 is 44483274.

It is a happy number.

It is a super-2 number, since 2×472384440² = 446294118308227200, which contains 22 as substring.

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 = 472384395 and 472384404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200791 + ... + 203129.

It is an arithmetic number, because the mean of its divisors is an integer number (7107750).

Almost surely, 2^472384440 is an apocalyptic number.

472384440 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 472384440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792000).

472384440 is an abundant number, since it is smaller than the sum of its proper divisors (1347199560).

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

472384440 is a wasteful number, since it uses less digits than its factorization.

472384440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 472384440 is about 21734.4068242039. The cubic root of 472384440 is about 778.8106133154.

The spelling of 472384440 in words is "four hundred seventy-two million, three hundred eighty-four thousand, four hundred forty".