420338000 has 40 divisors (see below), whose sum is σ = 1016382120. Its totient is φ = 168134400.

The previous prime is 420337987. The next prime is 420338033. The reversal of 420338000 is 833024.

It can be written as a sum of positive squares in 4 ways, for example, as 88661056 + 331676944 = 9416^2 + 18212^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103085 + ... + 107084.

It is an arithmetic number, because the mean of its divisors is an integer number (25409553).

Almost surely, 2^420338000 is an apocalyptic number.

420338000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420338000 is an abundant number, since it is smaller than the sum of its proper divisors (596044120).

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

420338000 is a wasteful number, since it uses less digits than its factorization.

420338000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210192 (or 210176 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 420338000 is about 20502.1462291146. The cubic root of 420338000 is about 749.0880768294.

The spelling of 420338000 in words is "four hundred twenty million, three hundred thirty-eight thousand".