413765688 has 32 divisors (see below), whose sum is σ = 1182188160. Its totient is φ = 118218720.

The previous prime is 413765687. The next prime is 413765689. The reversal of 413765688 is 886567314.

It is an interprime number because it is at equal distance from previous prime (413765687) and next prime (413765689).

It is a super-2 number, since 2×413765688² = 342404089132226688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413765687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1231278 + ... + 1231613.

It is an arithmetic number, because the mean of its divisors is an integer number (36943380).

Almost surely, 2^413765688 is an apocalyptic number.

It is an amenable number.

413765688 is an abundant number, since it is smaller than the sum of its proper divisors (768422472).

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

413765688 is a wasteful number, since it uses less digits than its factorization.

413765688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462907 (or 2462903 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 413765688 is about 20341.2312311718. The cubic root of 413765688 is about 745.1633580186.

The spelling of 413765688 in words is "four hundred thirteen million, seven hundred sixty-five thousand, six hundred eighty-eight".