420664000 has 56 divisors (see below), whose sum is σ = 1041794208. Its totient is φ = 168262400.

The previous prime is 420663983. The next prime is 420664061. The reversal of 420664000 is 466024.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18292 + ... + 34291.

It is an arithmetic number, because the mean of its divisors is an integer number (18603468).

Almost surely, 2^420664000 is an apocalyptic number.

420664000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420664000 is an abundant number, since it is smaller than the sum of its proper divisors (621130208).

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

420664000 is an equidigital number, since it uses as much as digits as its factorization.

420664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52610 (or 52590 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 420664000 is about 20510.0950753525. The cubic root of 420664000 is about 749.2816826169.

The spelling of 420664000 in words is "four hundred twenty million, six hundred sixty-four thousand".