420165600 has 72 divisors (see below), whose sum is σ = 1367646840. Its totient is φ = 112043520.

The previous prime is 420165539. The next prime is 420165623. The reversal of 420165600 is 6561024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85135 + ... + 89934.

It is an arithmetic number, because the mean of its divisors is an integer number (18995095).

Almost surely, 2^420165600 is an apocalyptic number.

420165600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420165600 is an abundant number, since it is smaller than the sum of its proper divisors (947481240).

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

420165600 is a wasteful number, since it uses less digits than its factorization.

420165600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175092 (or 175079 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 420165600 is about 20497.9413600488. The cubic root of 420165600 is about 748.9856509687.

The spelling of 420165600 in words is "four hundred twenty million, one hundred sixty-five thousand, six hundred".