413399120 has 20 divisors (see below), whose sum is σ = 961153140. Its totient is φ = 165359616.

The previous prime is 413399117. The next prime is 413399123. The reversal of 413399120 is 21993314.

It is an interprime number because it is at equal distance from previous prime (413399117) and next prime (413399123).

It can be written as a sum of positive squares in 2 ways, for example, as 110082064 + 303317056 = 10492^2 + 17416^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413399123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2583665 + ... + 2583824.

It is an arithmetic number, because the mean of its divisors is an integer number (48057657).

Almost surely, 2^413399120 is an apocalyptic number.

413399120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413399120 is an abundant number, since it is smaller than the sum of its proper divisors (547754020).

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

413399120 is a wasteful number, since it uses less digits than its factorization.

413399120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167502 (or 5167496 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 413399120 is about 20332.2187672669. The cubic root of 413399120 is about 744.9432384723.

The spelling of 413399120 in words is "four hundred thirteen million, three hundred ninety-nine thousand, one hundred twenty".