418168080 has 240 divisors, whose sum is σ = 1574524224. Its totient is φ = 98565120.

The previous prime is 418168063. The next prime is 418168097. The reversal of 418168080 is 80861814.

418168080 is a `hidden beast` number, since 418 + 168 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (418168063) and next prime (418168097).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292327 + ... + 293753.

Almost surely, 2^418168080 is an apocalyptic number.

418168080 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 418168080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787262112).

418168080 is an abundant number, since it is smaller than the sum of its proper divisors (1156356144).

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

418168080 is a wasteful number, since it uses less digits than its factorization.

418168080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 418168080 is about 20449.1584178909. The cubic root of 418168080 is about 747.7968411251.

The spelling of 418168080 in words is "four hundred eighteen million, one hundred sixty-eight thousand, eighty".