256291420 has 96 divisors (see below), whose sum is σ = 675795456. Its totient is φ = 79315200.

The previous prime is 256291417. The next prime is 256291421. The reversal of 256291420 is 24192652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256291421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250510 + ... + 251530.

It is an arithmetic number, because the mean of its divisors is an integer number (7039536).

Almost surely, 2^256291420 is an apocalyptic number.

256291420 is a gapful number since it is divisible by the number (20) 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 256291420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337897728).

256291420 is an abundant number, since it is smaller than the sum of its proper divisors (419504036).

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

256291420 is a wasteful number, since it uses less digits than its factorization.

256291420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 256291420 is about 16009.1042847500. The cubic root of 256291420 is about 635.2012671364.

The spelling of 256291420 in words is "two hundred fifty-six million, two hundred ninety-one thousand, four hundred twenty".