256467700 has 72 divisors (see below), whose sum is σ = 589024800. Its totient is φ = 96658560.

The previous prime is 256467697. The next prime is 256467703. The reversal of 256467700 is 7764652.

It is an interprime number because it is at equal distance from previous prime (256467697) and next prime (256467703).

It is a super-2 number, since 2×256467700² = 131551362286580000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256467700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256467703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659106 + ... + 659494.

It is an arithmetic number, because the mean of its divisors is an integer number (8180900).

Almost surely, 2^256467700 is an apocalyptic number.

256467700 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 256467700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294512400).

256467700 is an abundant number, since it is smaller than the sum of its proper divisors (332557100).

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

256467700 is a wasteful number, since it uses less digits than its factorization.

256467700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The square root of 256467700 is about 16014.6089555755. The cubic root of 256467700 is about 635.3468665183.

The spelling of 256467700 in words is "two hundred fifty-six million, four hundred sixty-seven thousand, seven hundred".