256529900 has 72 divisors (see below), whose sum is σ = 613554480. Its totient is φ = 92320000.

The previous prime is 256529893. The next prime is 256529981. The reversal of 256529900 is 9925652.

It is a super-3 number, since 3×256529900³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109946 + ... + 112254.

It is an arithmetic number, because the mean of its divisors is an integer number (8521590).

Almost surely, 2^256529900 is an apocalyptic number.

256529900 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 256529900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306777240).

256529900 is an abundant number, since it is smaller than the sum of its proper divisors (357024580).

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

256529900 is a wasteful number, since it uses less digits than its factorization.

256529900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 256529900 is about 16016.5508147041. The cubic root of 256529900 is about 635.3982250075.

The spelling of 256529900 in words is "two hundred fifty-six million, five hundred twenty-nine thousand, nine hundred".