1248000800 has 54 divisors (see below), whose sum is σ = 3049123203. Its totient is φ = 498800640.

The previous prime is 1248000779. The next prime is 1248000811. The reversal of 1248000800 is 80008421.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 343435024 + 904565776 = 18532^2 + 30076^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=24980.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 998576 + ... + 999824.

Almost surely, 2^1248000800 is an apocalyptic number.

1248000800 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 1248000800

1248000800 is an abundant number, since it is smaller than the sum of its proper divisors (1801122403).

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

1248000800 is an frugal number, since it uses more digits than its factorization.

1248000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 1248000800 is about 35327.0547880799. The cubic root of 1248000800 is about 1076.6427524692.

Multiplying 1248000800 by its product of nonzero digits (512), we get a square (638976409600 = 799360²).

The spelling of 1248000800 in words is "one billion, two hundred forty-eight million, eight hundred", and thus it is an aban number.