413414440 has 16 divisors (see below), whose sum is σ = 930182580. Its totient is φ = 165365760.

The previous prime is 413414429. The next prime is 413414461. The reversal of 413414440 is 44414314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 378769444 + 34644996 = 19462^2 + 5886^2 .

It is a super-2 number, since 2×413414440² = 341822998401027200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5167641 + ... + 5167720.

Almost surely, 2^413414440 is an apocalyptic number.

413414440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413414440 is an abundant number, since it is smaller than the sum of its proper divisors (516768140).

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

413414440 is a wasteful number, since it uses less digits than its factorization.

413414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10335372 (or 10335368 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 413414440 is about 20332.5955057391. The cubic root of 413414440 is about 744.9524405476.

Adding to 413414440 its reverse (44414314), we get a palindrome (457828754).

The spelling of 413414440 in words is "four hundred thirteen million, four hundred fourteen thousand, four hundred forty".