1248744000 has 224 divisors, whose sum is σ = 4713037056. Its totient is φ = 285388800.

The previous prime is 1248743989. The next prime is 1248744017. The reversal of 1248744000 is 4478421.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164284 + ... + 171716.

It is an arithmetic number, because the mean of its divisors is an integer number (21040344).

Almost surely, 2^1248744000 is an apocalyptic number.

1248744000 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 1248744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356518528).

1248744000 is an abundant number, since it is smaller than the sum of its proper divisors (3464293056).

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

1248744000 is an equidigital number, since it uses as much as digits as its factorization.

1248744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7470 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1248744000 is about 35337.5720727953. The cubic root of 1248744000 is about 1076.8564281097.

The spelling of 1248744000 in words is "one billion, two hundred forty-eight million, seven hundred forty-four thousand".