1248477824 has 128 divisors (see below), whose sum is σ = 2942153280. Its totient is φ = 521256960.

The previous prime is 1248477767. The next prime is 1248477829. The reversal of 1248477824 is 4287748421.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1248477829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1028642 + ... + 1029854.

Almost surely, 2^1248477824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1248477824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471076640).

1248477824 is an abundant number, since it is smaller than the sum of its proper divisors (1693675456).

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

1248477824 is a wasteful number, since it uses less digits than its factorization.

1248477824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1286 counting only the distinct ones).

The product of its digits is 802816, while the sum is 47.

The square root of 1248477824 is about 35333.8056823773. The cubic root of 1248477824 is about 1076.7799102366.

The spelling of 1248477824 in words is "one billion, two hundred forty-eight million, four hundred seventy-seven thousand, eight hundred twenty-four".