413042120 has 32 divisors (see below), whose sum is σ = 937579320. Its totient is φ = 163752960.

The previous prime is 413042117. The next prime is 413042131. The reversal of 413042120 is 21240314.

It can be written as a sum of positive squares in 4 ways, for example, as 274697476 + 138344644 = 16574^2 + 11762^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 41171 + ... + 50210.

Almost surely, 2^413042120 is an apocalyptic number.

413042120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413042120 is an abundant number, since it is smaller than the sum of its proper divisors (524537200).

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

413042120 is a wasteful number, since it uses less digits than its factorization.

413042120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91505 (or 91501 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 413042120 is about 20323.4377013339. The cubic root of 413042120 is about 744.7287392840.

Adding to 413042120 its reverse (21240314), we get a palindrome (434282434).

The spelling of 413042120 in words is "four hundred thirteen million, forty-two thousand, one hundred twenty".