413121401 has 24 divisors (see below), whose sum is σ = 526340736. Its totient is φ = 320634720.

The previous prime is 413121383. The next prime is 413121409. The reversal of 413121401 is 104121314.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-413121401 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 413121401.

It is not an unprimeable number, because it can be changed into a prime (413121409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147920 + ... + 150686.

It is an arithmetic number, because the mean of its divisors is an integer number (21930864).

Almost surely, 2^413121401 is an apocalyptic number.

It is an amenable number.

413121401 is a deficient number, since it is larger than the sum of its proper divisors (113219335).

413121401 is a wasteful number, since it uses less digits than its factorization.

413121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 413121401 is about 20325.3880897758. The cubic root of 413121401 is about 744.7763849995.

Adding to 413121401 its reverse (104121314), we get a palindrome (517242715).

The spelling of 413121401 in words is "four hundred thirteen million, one hundred twenty-one thousand, four hundred one".