420242256 has 140 divisors (see below), whose sum is σ = 1395437472. Its totient is φ = 120045888.

The previous prime is 420242243. The next prime is 420242279. The reversal of 420242256 is 652242024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 79075 + ... + 84221.

Almost surely, 2^420242256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420242256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697718736).

420242256 is an abundant number, since it is smaller than the sum of its proper divisors (975195216).

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

420242256 is an equidigital number, since it uses as much as digits as its factorization.

420242256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5159 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 420242256 is about 20499.8111210811. The cubic root of 420242256 is about 749.0311971001.

The spelling of 420242256 in words is "four hundred twenty million, two hundred forty-two thousand, two hundred fifty-six".