420189600 has 72 divisors (see below), whose sum is σ = 1367724960. Its totient is φ = 112049920.

The previous prime is 420189589. The next prime is 420189611. The reversal of 420189600 is 6981024.

It is an interprime number because it is at equal distance from previous prime (420189589) and next prime (420189611).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 85140 + ... + 89939.

It is an arithmetic number, because the mean of its divisors is an integer number (18996180).

Almost surely, 2^420189600 is an apocalyptic number.

420189600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420189600 is an abundant number, since it is smaller than the sum of its proper divisors (947535360).

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

420189600 is a wasteful number, since it uses less digits than its factorization.

420189600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175102 (or 175089 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 420189600 is about 20498.5267763320. The cubic root of 420189600 is about 748.9999114678. Note that the first 4 decimals are identical.

The spelling of 420189600 in words is "four hundred twenty million, one hundred eighty-nine thousand, six hundred".