413121000 has 64 divisors (see below), whose sum is σ = 1288946880. Its totient is φ = 110164800.

The previous prime is 413120989. The next prime is 413121019. The reversal of 413121000 is 121314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65854 + ... + 71853.

It is an arithmetic number, because the mean of its divisors is an integer number (20139795).

Almost surely, 2^413121000 is an apocalyptic number.

413121000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413121000 is an abundant number, since it is smaller than the sum of its proper divisors (875825880).

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

413121000 is a wasteful number, since it uses less digits than its factorization.

413121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137731 (or 137717 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 413121000 is about 20325.3782252631. The cubic root of 413121000 is about 744.7761440248.

Adding to 413121000 its reverse (121314), we get a palindrome (413242314).

The spelling of 413121000 in words is "four hundred thirteen million, one hundred twenty-one thousand".