413374401 has 32 divisors (see below), whose sum is σ = 680711040. Its totient is φ = 245793600.

The previous prime is 413374391. The next prime is 413374433. The reversal of 413374401 is 104473314.

It is not a de Polignac number, because 413374401 - 2¹³ = 413366209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413374441) 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, 2611 + ... + 28871.

It is an arithmetic number, because the mean of its divisors is an integer number (21272220).

Almost surely, 2^413374401 is an apocalyptic number.

It is an amenable number.

413374401 is a deficient number, since it is larger than the sum of its proper divisors (267336639).

413374401 is a wasteful number, since it uses less digits than its factorization.

413374401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26334 (or 26328 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 413374401 is about 20331.6108805967. The cubic root of 413374401 is about 744.9283903364.

The spelling of 413374401 in words is "four hundred thirteen million, three hundred seventy-four thousand, four hundred one".