413320440 has 64 divisors (see below), whose sum is σ = 1335348000. Its totient is φ = 101740032.

The previous prime is 413320421. The next prime is 413320459. The reversal of 413320440 is 44023314.

It is an interprime number because it is at equal distance from previous prime (413320421) and next prime (413320459).

It is a super-2 number, since 2×413320440² = 341667572243587200, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 130915 + ... + 134034.

Almost surely, 2^413320440 is an apocalyptic number.

413320440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413320440 is an abundant number, since it is smaller than the sum of its proper divisors (922027560).

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

413320440 is a wasteful number, since it uses less digits than its factorization.

413320440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264976 (or 264972 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 413320440 is about 20330.2838150381. The cubic root of 413320440 is about 744.8959751458.

Adding to 413320440 its reverse (44023314), we get a palindrome (457343754).

The spelling of 413320440 in words is "four hundred thirteen million, three hundred twenty thousand, four hundred forty".