420166080 has 168 divisors, whose sum is σ = 1484632032. Its totient is φ = 108988416.

The previous prime is 420166051. The next prime is 420166099. The reversal of 420166080 is 80661024.

420166080 is a `hidden beast` number, since 42 + 0 + 16 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104589 + ... + 108531.

Almost surely, 2^420166080 is an apocalyptic number.

420166080 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 420166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742316016).

420166080 is an abundant number, since it is smaller than the sum of its proper divisors (1064465952).

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

420166080 is a wasteful number, since it uses less digits than its factorization.

420166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3990 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 420166080 is about 20497.9530685383. The cubic root of 420166080 is about 748.9859361841.

The spelling of 420166080 in words is "four hundred twenty million, one hundred sixty-six thousand, eighty".