472081640 has 48 divisors (see below), whose sum is σ = 1097642340. Its totient is φ = 182726400.

The previous prime is 472081591. The next prime is 472081681. The reversal of 472081640 is 46180274.

It can be written as a sum of positive squares in 2 ways, for example, as 462852196 + 9229444 = 21514^2 + 3038^2 .

It is a super-2 number, since 2×472081640² = 445722149650179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 472081597 and 472081606.

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 11 ways as a sum of consecutive naturals, for example, 32300 + ... + 44580.

Almost surely, 2^472081640 is an apocalyptic number.

472081640 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 472081640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548821170).

472081640 is an abundant number, since it is smaller than the sum of its proper divisors (625560700).

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

472081640 is a wasteful number, since it uses less digits than its factorization.

472081640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12354 (or 12319 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 472081640 is about 21727.4397939564. The cubic root of 472081640 is about 778.6441710143.

The spelling of 472081640 in words is "four hundred seventy-two million, eighty-one thousand, six hundred forty".