420192900 has 72 divisors (see below), whose sum is σ = 1350851040. Its totient is φ = 112050720.

The previous prime is 420192869. The next prime is 420192907. The reversal of 420192900 is 9291024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420192907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75114 + ... + 80513.

It is an arithmetic number, because the mean of its divisors is an integer number (18761820).

Almost surely, 2^420192900 is an apocalyptic number.

It is an amenable number.

420192900 is an abundant number, since it is smaller than the sum of its proper divisors (930658140).

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

420192900 is a wasteful number, since it uses less digits than its factorization.

420192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155650 (or 155637 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 420192900 is about 20498.6072697635. The cubic root of 420192900 is about 749.0018722439.

The spelling of 420192900 in words is "four hundred twenty million, one hundred ninety-two thousand, nine hundred".