256225620 has 192 divisors, whose sum is σ = 850945536. Its totient is φ = 56401920.

The previous prime is 256225609. The next prime is 256225661. The reversal of 256225620 is 26522652.

256225620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1870192 + ... + 1870328.

It is an arithmetic number, because the mean of its divisors is an integer number (4432008).

Almost surely, 2^256225620 is an apocalyptic number.

256225620 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 256225620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425472768).

256225620 is an abundant number, since it is smaller than the sum of its proper divisors (594719916).

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

256225620 is a wasteful number, since it uses less digits than its factorization.

256225620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 256225620 is about 16007.0490722057. The cubic root of 256225620 is about 635.1469021733.

It can be divided in two parts, 2562 and 25620, that added together give a palindrome (28182).

The spelling of 256225620 in words is "two hundred fifty-six million, two hundred twenty-five thousand, six hundred twenty".