413676967 has 24 divisors (see below), whose sum is σ = 473224752. Its totient is φ = 358579200.

The previous prime is 413676953. The next prime is 413676971. The reversal of 413676967 is 769676314.

It is a happy number.

It is not a de Polignac number, because 413676967 - 2¹⁵ = 413644199 is a prime.

It is a super-2 number, since 2×413676967² = 342257266052638178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 413676967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413676917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 897117 + ... + 897577.

It is an arithmetic number, because the mean of its divisors is an integer number (19717698).

Almost surely, 2^413676967 is an apocalyptic number.

413676967 is a deficient number, since it is larger than the sum of its proper divisors (59547785).

413676967 is a wasteful number, since it uses less digits than its factorization.

413676967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 49.

The square root of 413676967 is about 20339.0502973959. The cubic root of 413676967 is about 745.1100940852.

The spelling of 413676967 in words is "four hundred thirteen million, six hundred seventy-six thousand, nine hundred sixty-seven".