1256400 has 90 divisors (see below), whose sum is σ = 4372550. Its totient is φ = 334080.

The previous prime is 1256393. The next prime is 1256407. The reversal of 1256400 is 46521.

It is a happy number.

1256400 is a `hidden beast` number, since 1 + 25 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1256393) and next prime (1256407).

It can be written as a sum of positive squares in 3 ways, for example, as 166464 + 1089936 = 408^2 + 1044^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1256407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3426 + ... + 3774.

2^1256400 is an apocalyptic number.

1256400 is a gapful number since it is divisible by the number (10) 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 1256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186275).

1256400 is an abundant number, since it is smaller than the sum of its proper divisors (3116150).

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

1256400 is a wasteful number, since it uses less digits than its factorization.

1256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1256400 is about 1120.8925015362. The cubic root of 1256400 is about 107.9052667223.

The spelling of 1256400 in words is "one million, two hundred fifty-six thousand, four hundred".