413656040 has 48 divisors (see below), whose sum is σ = 1082686500. Its totient is φ = 141824256.

The previous prime is 413656039. The next prime is 413656051. The reversal of 413656040 is 40656314.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 372721636 + 40934404 = 19306^2 + 6398^2 .

It is a super-2 number, since 2×413656040² = 342222638856963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413655994 and 413656012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103565 + ... + 107484.

Almost surely, 2^413656040 is an apocalyptic number.

413656040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413656040 is an abundant number, since it is smaller than the sum of its proper divisors (669030460).

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

413656040 is a wasteful number, since it uses less digits than its factorization.

413656040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211074 (or 211063 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 413656040 is about 20338.5358371737. The cubic root of 413656040 is about 745.0975293844.

The spelling of 413656040 in words is "four hundred thirteen million, six hundred fifty-six thousand, forty".