256952080 has 240 divisors, whose sum is σ = 778610880. Its totient is φ = 77952000.

The previous prime is 256952071. The next prime is 256952081. The reversal of 256952080 is 80259652.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256952081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2544030 + ... + 2544130.

It is an arithmetic number, because the mean of its divisors is an integer number (3244212).

Almost surely, 2^256952080 is an apocalyptic number.

256952080 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 256952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389305440).

256952080 is an abundant number, since it is smaller than the sum of its proper divisors (521658800).

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

256952080 is a wasteful number, since it uses less digits than its factorization.

256952080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 256952080 is about 16029.7248884689. The cubic root of 256952080 is about 635.7465994720.

The spelling of 256952080 in words is "two hundred fifty-six million, nine hundred fifty-two thousand, eighty".