420338560 has 128 divisors (see below), whose sum is σ = 1047180960. Its totient is φ = 161218560.

The previous prime is 420338551. The next prime is 420338573. The reversal of 420338560 is 65833024.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 2177824 + ... + 2178016.

Almost surely, 2^420338560 is an apocalyptic number.

420338560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523590480).

420338560 is an abundant number, since it is smaller than the sum of its proper divisors (626842400).

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

420338560 is a wasteful number, since it uses less digits than its factorization.

420338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 420338560 is about 20502.1598862169. The cubic root of 420338560 is about 749.0884094896.

The spelling of 420338560 in words is "four hundred twenty million, three hundred thirty-eight thousand, five hundred sixty".