407116160 has 64 divisors (see below), whose sum is σ = 1061758800. Its totient is φ = 148039680.

The previous prime is 407116141. The next prime is 407116189. The reversal of 407116160 is 61611704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21875 + ... + 35954.

Almost surely, 2^407116160 is an apocalyptic number.

407116160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407116160 is an abundant number, since it is smaller than the sum of its proper divisors (654642640).

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

407116160 is a wasteful number, since it uses less digits than its factorization.

407116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57859 (or 57847 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 407116160 is about 20177.1197151625. The cubic root of 407116160 is about 741.1500015347.

Adding to 407116160 its reverse (61611704), we get a palindrome (468727864).

The spelling of 407116160 in words is "four hundred seven million, one hundred sixteen thousand, one hundred sixty".