420390880 has 144 divisors (see below), whose sum is σ = 1229637024. Its totient is φ = 132986880.

The previous prime is 420390857. The next prime is 420390913. The reversal of 420390880 is 88093024.

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, 188170 + ... + 190390.

It is an arithmetic number, because the mean of its divisors is an integer number (8539146).

Almost surely, 2^420390880 is an apocalyptic number.

420390880 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 420390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614818512).

420390880 is an abundant number, since it is smaller than the sum of its proper divisors (809246144).

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

420390880 is a wasteful number, since it uses less digits than its factorization.

420390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 420390880 is about 20503.4358096393. The cubic root of 420390880 is about 749.1194881512.

The spelling of 420390880 in words is "four hundred twenty million, three hundred ninety thousand, eight hundred eighty".