413337601 has 8 divisors (see below), whose sum is σ = 428254208. Its totient is φ = 398520000.

The previous prime is 413337583. The next prime is 413337637. The reversal of 413337601 is 106733314.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413337601 - 2⁵ = 413337569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413337601.

It is not an unprimeable number, because it can be changed into a prime (413331601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16200 + ... + 33001.

It is an arithmetic number, because the mean of its divisors is an integer number (53531776).

Almost surely, 2^413337601 is an apocalyptic number.

It is an amenable number.

413337601 is a deficient number, since it is larger than the sum of its proper divisors (14916607).

413337601 is a wasteful number, since it uses less digits than its factorization.

413337601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49503.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 413337601 is about 20330.7058657588. The cubic root of 413337601 is about 744.9062843245.

The spelling of 413337601 in words is "four hundred thirteen million, three hundred thirty-seven thousand, six hundred one".