256363164 has 48 divisors (see below), whose sum is σ = 668535840. Its totient is φ = 84954240.

The previous prime is 256363153. The next prime is 256363169. The reversal of 256363164 is 461363652.

256363164 is a `hidden beast` number, since 2 + 5 + 636 + 3 + 16 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256363169) 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, 11824 + ... + 25544.

It is an arithmetic number, because the mean of its divisors is an integer number (13927830).

Almost surely, 2^256363164 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 256363164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334267920).

256363164 is an abundant number, since it is smaller than the sum of its proper divisors (412172676).

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

256363164 is a wasteful number, since it uses less digits than its factorization.

256363164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13907 (or 13899 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 256363164 is about 16011.3448529472. The cubic root of 256363164 is about 635.2605325201.

The spelling of 256363164 in words is "two hundred fifty-six million, three hundred sixty-three thousand, one hundred sixty-four".