1255605400 has 144 divisors (see below), whose sum is σ = 3506293440. Its totient is φ = 416505600.

The previous prime is 1255605391. The next prime is 1255605409. The reversal of 1255605400 is 45065521.

It is an interprime number because it is at equal distance from previous prime (1255605391) and next prime (1255605409).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255605409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301734 + ... + 305866.

It is an arithmetic number, because the mean of its divisors is an integer number (24349260).

Almost surely, 2^1255605400 is an apocalyptic number.

1255605400 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 1255605400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753146720).

1255605400 is an abundant number, since it is smaller than the sum of its proper divisors (2250688040).

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

1255605400 is a wasteful number, since it uses less digits than its factorization.

1255605400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1255605400 is about 35434.5227144377. The cubic root of 1255605400 is about 1078.8251398782.

The spelling of 1255605400 in words is "one billion, two hundred fifty-five million, six hundred five thousand, four hundred".