1248263200 has 72 divisors (see below), whose sum is σ = 3086052480. Its totient is φ = 492960000.

The previous prime is 1248263183. The next prime is 1248263213. The reversal of 1248263200 is 23628421.

It is a super-2 number, since 2×1248263200² = 3116322032948480000, which contains 22 as substring.

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, 53325 + ... + 73075.

It is an arithmetic number, because the mean of its divisors is an integer number (42861840).

Almost surely, 2^1248263200 is an apocalyptic number.

1248263200 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 1248263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543026240).

1248263200 is an abundant number, since it is smaller than the sum of its proper divisors (1837789280).

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

1248263200 is a wasteful number, since it uses less digits than its factorization.

1248263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19850 (or 19837 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 1248263200 is about 35330.7684603661. The cubic root of 1248263200 is about 1076.7182041465.

The spelling of 1248263200 in words is "one billion, two hundred forty-eight million, two hundred sixty-three thousand, two hundred".