1260254400 has 84 divisors (see below), whose sum is σ = 4134700392. Its totient is φ = 336066560.

The previous prime is 1260254393. The next prime is 1260254417. The reversal of 1260254400 is 44520621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126477 + ... + 136076.

Almost surely, 2^1260254400 is an apocalyptic number.

1260254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1260254400 is an abundant number, since it is smaller than the sum of its proper divisors (2874445992).

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

1260254400 is a wasteful number, since it uses less digits than its factorization.

1260254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262578 (or 262563 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1260254400 is about 35500.0619717769. The cubic root of 1260254400 is about 1080.1549846167.

The spelling of 1260254400 in words is "one billion, two hundred sixty million, two hundred fifty-four thousand, four hundred".