1255084992 has 336 divisors, whose sum is σ = 4336450560. Its totient is φ = 339572736.

The previous prime is 1255084979. The next prime is 1255085009. The reversal of 1255084992 is 2994805521.

It is a happy number.

1255084992 is a `hidden beast` number, since 1 + 2 + 550 + 8 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7011559 + ... + 7011737.

Almost surely, 2^1255084992 is an apocalyptic number.

1255084992 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 1255084992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2168225280).

1255084992 is an abundant number, since it is smaller than the sum of its proper divisors (3081365568).

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

1255084992 is a wasteful number, since it uses less digits than its factorization.

1255084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1255084992 is about 35427.1787191698. The cubic root of 1255084992 is about 1078.6760731899.

The spelling of 1255084992 in words is "one billion, two hundred fifty-five million, eighty-four thousand, nine hundred ninety-two".