256752100 has 72 divisors (see below), whose sum is σ = 614085696. Its totient is φ = 92400000.

The previous prime is 256752061. The next prime is 256752103. The reversal of 256752100 is 1257652.

It is not an unprimeable number, because it can be changed into a prime (256752103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109945 + ... + 112255.

It is an arithmetic number, because the mean of its divisors is an integer number (8528968).

Almost surely, 2^256752100 is an apocalyptic number.

256752100 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 256752100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307042848).

256752100 is an abundant number, since it is smaller than the sum of its proper divisors (357333596).

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

256752100 is a wasteful number, since it uses less digits than its factorization.

256752100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 256752100 is about 16023.4858879084. The cubic root of 256752100 is about 635.5816275938.

The spelling of 256752100 in words is "two hundred fifty-six million, seven hundred fifty-two thousand, one hundred".