256414500 has 144 divisors (see below), whose sum is σ = 851760000. Its totient is φ = 64756800.

The previous prime is 256414489. The next prime is 256414507. The reversal of 256414500 is 5414652.

It is not an unprimeable number, because it can be changed into a prime (256414507) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84001 + ... + 86999.

It is an arithmetic number, because the mean of its divisors is an integer number (5915000).

Almost surely, 2^256414500 is an apocalyptic number.

256414500 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 256414500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425880000).

256414500 is an abundant number, since it is smaller than the sum of its proper divisors (595345500).

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

256414500 is a wasteful number, since it uses less digits than its factorization.

256414500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 256414500 is about 16012.9478860077. The cubic root of 256414500 is about 635.3029327329.

The spelling of 256414500 in words is "two hundred fifty-six million, four hundred fourteen thousand, five hundred".