256723500 has 96 divisors (see below), whose sum is σ = 815592960. Its totient is φ = 62232000.

The previous prime is 256723499. The next prime is 256723513. The reversal of 256723500 is 5327652.

256723500 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8721 + ... + 24279.

It is an arithmetic number, because the mean of its divisors is an integer number (8495760).

Almost surely, 2^256723500 is an apocalyptic number.

256723500 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 256723500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407796480).

256723500 is an abundant number, since it is smaller than the sum of its proper divisors (558869460).

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

256723500 is a wasteful number, since it uses less digits than its factorization.

256723500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15592 (or 15580 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 256723500 is about 16022.5934230386. The cubic root of 256723500 is about 635.5580272551.

The spelling of 256723500 in words is "two hundred fifty-six million, seven hundred twenty-three thousand, five hundred".