413850160 has 40 divisors (see below), whose sum is σ = 963192816. Its totient is φ = 165369600.

The previous prime is 413850149. The next prime is 413850167. The reversal of 413850160 is 61058314.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (413850167) 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 7 ways as a sum of consecutive naturals, for example, 100135 + ... + 104185.

Almost surely, 2^413850160 is an apocalyptic number.

413850160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413850160 is an abundant number, since it is smaller than the sum of its proper divisors (549342656).

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

413850160 is a wasteful number, since it uses less digits than its factorization.

413850160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 413850160 is about 20343.3074990278. The cubic root of 413850160 is about 745.2140639761.

The spelling of 413850160 in words is "four hundred thirteen million, eight hundred fifty thousand, one hundred sixty".