420906256 has 45 divisors (see below), whose sum is σ = 856344279. Its totient is φ = 200400288.

The previous prime is 420906181. The next prime is 420906271. The reversal of 420906256 is 652609024.

The square root of 420906256 is 20516.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1887361 + ... + 1887583.

Almost surely, 2^420906256 is an apocalyptic number.

420906256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

420906256 is the 20516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420906256

420906256 is an abundant number, since it is smaller than the sum of its proper divisors (435438023).

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

420906256 is an equidigital number, since it uses as much as digits as its factorization.

420906256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The cubic root of 420906256 is about 749.4254895108.

The spelling of 420906256 in words is "four hundred twenty million, nine hundred six thousand, two hundred fifty-six".