1258400 has 108 divisors (see below), whose sum is σ = 3636486. Its totient is φ = 422400.

The previous prime is 1258373. The next prime is 1258403. The reversal of 1258400 is 48521.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 559504 = 836^2 + 748^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1258403) 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, 96794 + ... + 96806.

2^1258400 is an apocalyptic number.

1258400 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 1258400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818243).

1258400 is an abundant number, since it is smaller than the sum of its proper divisors (2378086).

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

1258400 is a wasteful number, since it uses less digits than its factorization.

1258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1258400 is about 1121.7842929904. The cubic root of 1258400 is about 107.9624926912.

The spelling of 1258400 in words is "one million, two hundred fifty-eight thousand, four hundred".