1256042892 has 96 divisors (see below), whose sum is σ = 3353095872. Its totient is φ = 362520576.

The previous prime is 1256042881. The next prime is 1256042897. The reversal of 1256042892 is 2982406521.

1256042892 is digitally balanced in base 4, 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1256042892.

It is not an unprimeable number, because it can be changed into a prime (1256042897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052248 + ... + 1053440.

It is an arithmetic number, because the mean of its divisors is an integer number (34928082).

Almost surely, 2^1256042892 is an apocalyptic number.

1256042892 is a gapful number since it is divisible by the number (12) 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 1256042892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1676547936).

1256042892 is an abundant number, since it is smaller than the sum of its proper divisors (2097052980).

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

1256042892 is a wasteful number, since it uses less digits than its factorization.

1256042892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1256042892 is about 35440.6954220709. The cubic root of 1256042892 is about 1078.9504240801.

The spelling of 1256042892 in words is "one billion, two hundred fifty-six million, forty-two thousand, eight hundred ninety-two".