420256508 has 48 divisors (see below), whose sum is σ = 867432384. Its totient is φ = 174389760.

The previous prime is 420256493. The next prime is 420256513. The reversal of 420256508 is 805652024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240518 + ... + 242258.

It is an arithmetic number, because the mean of its divisors is an integer number (18071508).

Almost surely, 2^420256508 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 420256508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433716192).

420256508 is an abundant number, since it is smaller than the sum of its proper divisors (447175876).

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

420256508 is a wasteful number, since it uses less digits than its factorization.

420256508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 420256508 is about 20500.1587310928. The cubic root of 420256508 is about 749.0396644954.

The spelling of 420256508 in words is "four hundred twenty million, two hundred fifty-six thousand, five hundred eight".