413663272 has 32 divisors (see below), whose sum is σ = 850888800. Its totient is φ = 186971200.

The previous prime is 413663267. The next prime is 413663273. The reversal of 413663272 is 272366314.

It is a super-2 number, since 2×413663272² = 342234605203491968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413663273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2622 + ... + 28882.

It is an arithmetic number, because the mean of its divisors is an integer number (26590275).

Almost surely, 2^413663272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413663272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425444400).

413663272 is an abundant number, since it is smaller than the sum of its proper divisors (437225528).

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

413663272 is a wasteful number, since it uses less digits than its factorization.

413663272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26457 (or 26453 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 413663272 is about 20338.7136269726. The cubic root of 413663272 is about 745.1018715701.

The spelling of 413663272 in words is "four hundred thirteen million, six hundred sixty-three thousand, two hundred seventy-two".