1248464000 has 256 divisors, whose sum is σ = 3620298240. Its totient is φ = 419328000.

The previous prime is 1248463999. The next prime is 1248464033. The reversal of 1248464000 is 4648421.

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, 7951922 + ... + 7952078.

It is an arithmetic number, because the mean of its divisors is an integer number (14141790).

Almost surely, 2^1248464000 is an apocalyptic number.

1248464000 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 1248464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810149120).

1248464000 is an abundant number, since it is smaller than the sum of its proper divisors (2371834240).

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

1248464000 is an equidigital number, since it uses as much as digits as its factorization.

1248464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 1248464000 is about 35333.6100618094. The cubic root of 1248464000 is about 1076.7759359409.

The spelling of 1248464000 in words is "one billion, two hundred forty-eight million, four hundred sixty-four thousand".