256142400 has 336 divisors, whose sum is σ = 922958784. Its totient is φ = 61931520.

The previous prime is 256142347. The next prime is 256142431. The reversal of 256142400 is 4241652.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3508764 + ... + 3508836.

Almost surely, 2^256142400 is an apocalyptic number.

256142400 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 256142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461479392).

256142400 is an abundant number, since it is smaller than the sum of its proper divisors (666816384).

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

256142400 is a wasteful number, since it uses less digits than its factorization.

256142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 256142400 is about 16004.4493813439. The cubic root of 256142400 is about 635.0781312092.

The spelling of 256142400 in words is "two hundred fifty-six million, one hundred forty-two thousand, four hundred".