1248779520 has 108 divisors (see below), whose sum is σ = 4320686916. Its totient is φ = 333004800.

The previous prime is 1248779509. The next prime is 1248779533. The reversal of 1248779520 is 259778421.

It is a happy number.

1248779520 is a `hidden beast` number, since 12 + 48 + 7 + 79 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 544195584 + 704583936 = 23328^2 + 26544^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42681 + ... + 65720.

Almost surely, 2^1248779520 is an apocalyptic number.

1248779520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248779520 is an abundant number, since it is smaller than the sum of its proper divisors (3071907396).

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

1248779520 is a wasteful number, since it uses less digits than its factorization.

1248779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108428 (or 108411 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 1248779520 is about 35338.0746504390. The cubic root of 1248779520 is about 1076.8666382563.

The spelling of 1248779520 in words is "one billion, two hundred forty-eight million, seven hundred seventy-nine thousand, five hundred twenty".