472288440 has 128 divisors (see below), whose sum is σ = 1592317440. Its totient is φ = 111192576.

The previous prime is 472288433. The next prime is 472288447. The reversal of 472288440 is 44882274.

It is an interprime number because it is at equal distance from previous prime (472288433) and next prime (472288447).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472288447) 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 31 ways as a sum of consecutive naturals, for example, 29299 + ... + 42461.

It is an arithmetic number, because the mean of its divisors is an integer number (12439980).

Almost surely, 2^472288440 is an apocalyptic number.

472288440 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 472288440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796158720).

472288440 is an abundant number, since it is smaller than the sum of its proper divisors (1120029000).

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

472288440 is a wasteful number, since it uses less digits than its factorization.

472288440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13209 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 472288440 is about 21732.1982321163. The cubic root of 472288440 is about 778.7578519923.

The spelling of 472288440 in words is "four hundred seventy-two million, two hundred eighty-eight thousand, four hundred forty".