413923160 has 128 divisors (see below), whose sum is σ = 1125273600. Its totient is φ = 134023680.

The previous prime is 413923109. The next prime is 413923171. The reversal of 413923160 is 61329314.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372686 + ... + 373794.

It is an arithmetic number, because the mean of its divisors is an integer number (8791200).

Almost surely, 2^413923160 is an apocalyptic number.

413923160 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 413923160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562636800).

413923160 is an abundant number, since it is smaller than the sum of its proper divisors (711350440).

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

413923160 is a wasteful number, since it uses less digits than its factorization.

413923160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 413923160 is about 20345.1016217664. The cubic root of 413923160 is about 745.2578780853.

The spelling of 413923160 in words is "four hundred thirteen million, nine hundred twenty-three thousand, one hundred sixty".