1253192960 has 144 divisors (see below), whose sum is σ = 3154104576. Its totient is φ = 476504064.

The previous prime is 1253192953. The next prime is 1253192977. The reversal of 1253192960 is 692913521.

It is a super-4 number, since 4×1253192960⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2225639 + ... + 2226201.

It is an arithmetic number, because the mean of its divisors is an integer number (21903504).

Almost surely, 2^1253192960 is an apocalyptic number.

1253192960 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 1253192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577052288).

1253192960 is an abundant number, since it is smaller than the sum of its proper divisors (1900911616).

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

1253192960 is an equidigital number, since it uses as much as digits as its factorization.

1253192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 1253192960 is about 35400.4655336621. The cubic root of 1253192960 is about 1078.1337683359.

The spelling of 1253192960 in words is "one billion, two hundred fifty-three million, one hundred ninety-two thousand, nine hundred sixty".