472834440 has 192 divisors, whose sum is σ = 1679408640. Its totient is φ = 114670080.

The previous prime is 472834423. The next prime is 472834441. The reversal of 472834440 is 44438274.

It is a happy number.

It is a super-2 number, since 2×472834440² = 447144815300227200, 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 = 472834395 and 472834404.

It is not an unprimeable number, because it can be changed into a prime (472834441) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 331569 + ... + 332991.

It is an arithmetic number, because the mean of its divisors is an integer number (8746920).

Almost surely, 2^472834440 is an apocalyptic number.

472834440 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 472834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839704320).

472834440 is an abundant number, since it is smaller than the sum of its proper divisors (1206574200).

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

472834440 is a wasteful number, since it uses less digits than its factorization.

472834440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1517 counting only the distinct ones).

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

The square root of 472834440 is about 21744.7566093530. The cubic root of 472834440 is about 779.0578367768.

The spelling of 472834440 in words is "four hundred seventy-two million, eight hundred thirty-four thousand, four hundred forty".