413321120 has 24 divisors (see below), whose sum is σ = 976471524. Its totient is φ = 165328384.

The previous prime is 413321107. The next prime is 413321131. The reversal of 413321120 is 21123314.

It can be written as a sum of positive squares in 2 ways, for example, as 353289616 + 60031504 = 18796^2 + 7748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1291469 + ... + 1291788.

Almost surely, 2^413321120 is an apocalyptic number.

413321120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413321120 is an abundant number, since it is smaller than the sum of its proper divisors (563150404).

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

413321120 is a wasteful number, since it uses less digits than its factorization.

413321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583272 (or 2583264 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 413321120 is about 20330.3005388509. The cubic root of 413321120 is about 744.8963836496.

Adding to 413321120 its reverse (21123314), we get a palindrome (434444434).

The spelling of 413321120 in words is "four hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".