1248844800 has 528 divisors, whose sum is σ = 4970967552. Its totient is φ = 270336000.

The previous prime is 1248844783. The next prime is 1248844801. The reversal of 1248844800 is 84488421.

It is a super-2 number, since 2×1248844800² = 3119226668974080000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1248844801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12364750 + ... + 12364850.

Almost surely, 2^1248844800 is an apocalyptic number.

1248844800 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 1248844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485483776).

1248844800 is an abundant number, since it is smaller than the sum of its proper divisors (3722122752).

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

1248844800 is a wasteful number, since it uses less digits than its factorization.

1248844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 39.

The square root of 1248844800 is about 35338.9982880104. The cubic root of 1248844800 is about 1076.8854023450.

The spelling of 1248844800 in words is "one billion, two hundred forty-eight million, eight hundred forty-four thousand, eight hundred".