418168960 has 64 divisors (see below), whose sum is σ = 1090584000. Its totient is φ = 152058880.

The previous prime is 418168943. The next prime is 418168973. The reversal of 418168960 is 69861814.

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

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, 22660 + ... + 36739.

It is an arithmetic number, because the mean of its divisors is an integer number (17040375).

Almost surely, 2^418168960 is an apocalyptic number.

418168960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

418168960 is an abundant number, since it is smaller than the sum of its proper divisors (672415040).

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

418168960 is a wasteful number, since it uses less digits than its factorization.

418168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59429 (or 59417 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 418168960 is about 20449.1799346575. The cubic root of 418168960 is about 747.7973656835.

The spelling of 418168960 in words is "four hundred eighteen million, one hundred sixty-eight thousand, nine hundred sixty".