256254520 has 64 divisors (see below), whose sum is σ = 610740000. Its totient is φ = 96496128.

The previous prime is 256254491. The next prime is 256254529. The reversal of 256254520 is 25452652.

It is a happy number.

256254520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256254529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130506 + ... + 132454.

Almost surely, 2^256254520 is an apocalyptic number.

256254520 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 256254520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305370000).

256254520 is an abundant number, since it is smaller than the sum of its proper divisors (354485480).

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

256254520 is a wasteful number, since it uses less digits than its factorization.

256254520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2148 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 256254520 is about 16007.9517740403. The cubic root of 256254520 is about 635.1707809400.

The spelling of 256254520 in words is "two hundred fifty-six million, two hundred fifty-four thousand, five hundred twenty".