256601400 has 192 divisors, whose sum is σ = 919226880. Its totient is φ = 58521600.

The previous prime is 256601399. The next prime is 256601419. The reversal of 256601400 is 4106652.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111057 + ... + 113343.

It is an arithmetic number, because the mean of its divisors is an integer number (4787640).

Almost surely, 2^256601400 is an apocalyptic number.

256601400 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 256601400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

256601400 is an abundant number, since it is smaller than the sum of its proper divisors (662625480).

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

256601400 is a wasteful number, since it uses less digits than its factorization.

256601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 256601400 is about 16018.7827252885. The cubic root of 256601400 is about 635.4572522436.

The spelling of 256601400 in words is "two hundred fifty-six million, six hundred one thousand, four hundred".