413361160 has 32 divisors (see below), whose sum is σ = 934801560. Its totient is φ = 164502016.

The previous prime is 413361149. The next prime is 413361163. The reversal of 413361160 is 61163314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 391327524 + 22033636 = 19782^2 + 4694^2 .

It is not an unprimeable number, because it can be changed into a prime (413361163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18349 + ... + 34108.

Almost surely, 2^413361160 is an apocalyptic number.

413361160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413361160 is an abundant number, since it is smaller than the sum of its proper divisors (521440400).

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

413361160 is a wasteful number, since it uses less digits than its factorization.

413361160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52665 (or 52661 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 413361160 is about 20331.2852520444. The cubic root of 413361160 is about 744.9204365282.

The spelling of 413361160 in words is "four hundred thirteen million, three hundred sixty-one thousand, one hundred sixty".