413396160 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 102789120.

The previous prime is 413396141. The next prime is 413396171. The reversal of 413396160 is 61693314.

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 31 ways as a sum of consecutive naturals, for example, 862801 + ... + 863279.

Almost surely, 2^413396160 is an apocalyptic number.

413396160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

413396160 is an abundant number, since it is smaller than the sum of its proper divisors (991122240).

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

413396160 is a wasteful number, since it uses less digits than its factorization.

413396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 413396160 is about 20332.1459762613. The cubic root of 413396160 is about 744.9414604995.

The spelling of 413396160 in words is "four hundred thirteen million, three hundred ninety-six thousand, one hundred sixty".