420839280 has 320 divisors, whose sum is σ = 1555614720. Its totient is φ = 104315904.

The previous prime is 420839273. The next prime is 420839311. The reversal of 420839280 is 82938024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136142 + ... + 2136338.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^420839280 is an apocalyptic number.

420839280 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 420839280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

420839280 is an abundant number, since it is smaller than the sum of its proper divisors (1134775440).

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

420839280 is a wasteful number, since it uses less digits than its factorization.

420839280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 420839280 is about 20514.3676480656. The cubic root of 420839280 is about 749.3857370454.

The spelling of 420839280 in words is "four hundred twenty million, eight hundred thirty-nine thousand, two hundred eighty".