1263461200 has 60 divisors (see below), whose sum is σ = 3117541660. Its totient is φ = 491719680.

The previous prime is 1263461197. The next prime is 1263461239. The reversal of 1263461200 is 21643621.

It can be written as a sum of positive squares in 6 ways, for example, as 93547584 + 1169913616 = 9672^2 + 34204^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 27885 + ... + 57484.

Almost surely, 2^1263461200 is an apocalyptic number.

1263461200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1263461200 is an abundant number, since it is smaller than the sum of its proper divisors (1854080460).

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

1263461200 is a wasteful number, since it uses less digits than its factorization.

1263461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85424 (or 85413 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1263461200 is about 35545.1993945737. The cubic root of 1263461200 is about 1081.0703836982.

The spelling of 1263461200 in words is "one billion, two hundred sixty-three million, four hundred sixty-one thousand, two hundred".