256201400 has 144 divisors (see below), whose sum is σ = 746592840. Its totient is φ = 81043200.

The previous prime is 256201331. The next prime is 256201411. The reversal of 256201400 is 4102652.

It is a happy number.

256201400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126395 + ... + 128405.

Almost surely, 2^256201400 is an apocalyptic number.

256201400 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 256201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373296420).

256201400 is an abundant number, since it is smaller than the sum of its proper divisors (490391440).

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

256201400 is a wasteful number, since it uses less digits than its factorization.

256201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 256201400 is about 16006.2925126339. The cubic root of 256201400 is about 635.1268888966.

The spelling of 256201400 in words is "two hundred fifty-six million, two hundred one thousand, four hundred".