413207676 has 96 divisors (see below), whose sum is σ = 1254274560. Its totient is φ = 115171200.

The previous prime is 413207659. The next prime is 413207677. The reversal of 413207676 is 676702314.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 413207676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413207677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24331 + ... + 37661.

It is an arithmetic number, because the mean of its divisors is an integer number (13065360).

Almost surely, 2^413207676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413207676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627137280).

413207676 is an abundant number, since it is smaller than the sum of its proper divisors (841066884).

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

413207676 is a wasteful number, since it uses less digits than its factorization.

413207676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13384 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 413207676 is about 20327.5103246807. The cubic root of 413207676 is about 744.8282269923.

The spelling of 413207676 in words is "four hundred thirteen million, two hundred seven thousand, six hundred seventy-six".