1248804000 has 384 divisors, whose sum is σ = 4704860160. Its totient is φ = 321408000.

The previous prime is 1248803993. The next prime is 1248804023. The reversal of 1248804000 is 4088421.

It is a super-2 number, since 2×1248804000² = 3119022860832000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3347814 + ... + 3348186.

It is an arithmetic number, because the mean of its divisors is an integer number (12252240).

Almost surely, 2^1248804000 is an apocalyptic number.

1248804000 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 1248804000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352430080).

1248804000 is an abundant number, since it is smaller than the sum of its proper divisors (3456056160).

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

1248804000 is a wasteful number, since it uses less digits than its factorization.

1248804000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1248804000 is about 35338.4210173573. The cubic root of 1248804000 is about 1076.8736748662.

The spelling of 1248804000 in words is "one billion, two hundred forty-eight million, eight hundred four thousand".