472027640 has 128 divisors (see below), whose sum is σ = 1294272000. Its totient is φ = 151331328.

The previous prime is 472027639. The next prime is 472027649. The reversal of 472027640 is 46720274.

It is a junction number, because it is equal to n+sod(n) for n = 472027597 and 472027606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472027649) 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, 441026 + ... + 442094.

It is an arithmetic number, because the mean of its divisors is an integer number (10111500).

Almost surely, 2^472027640 is an apocalyptic number.

472027640 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 472027640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647136000).

472027640 is an abundant number, since it is smaller than the sum of its proper divisors (822244360).

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

472027640 is a wasteful number, since it uses less digits than its factorization.

472027640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 472027640 is about 21726.1970901490. The cubic root of 472027640 is about 778.6144809601.

The spelling of 472027640 in words is "four hundred seventy-two million, twenty-seven thousand, six hundred forty".