420918900 has 72 divisors (see below), whose sum is σ = 1219921920. Its totient is φ = 112055040.

The previous prime is 420918893. The next prime is 420918923. The reversal of 420918900 is 9819024.

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, 328461 + ... + 329739.

It is an arithmetic number, because the mean of its divisors is an integer number (16943360).

Almost surely, 2^420918900 is an apocalyptic number.

It is an amenable number.

420918900 is an abundant number, since it is smaller than the sum of its proper divisors (799003020).

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

420918900 is a wasteful number, since it uses less digits than its factorization.

420918900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 420918900 is about 20516.3081474226. The cubic root of 420918900 is about 749.4329936687.

The spelling of 420918900 in words is "four hundred twenty million, nine hundred eighteen thousand, nine hundred".