1248491520 has 576 divisors, whose sum is σ = 4906137600. Its totient is φ = 291962880.

The previous prime is 1248491473. The next prime is 1248491537. The reversal of 1248491520 is 251948421.

1248491520 is a `hidden beast` number, since 1 + 2 + 48 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40273905 + ... + 40273935.

It is an arithmetic number, because the mean of its divisors is an integer number (8517600).

Almost surely, 2^1248491520 is an apocalyptic number.

1248491520 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 1248491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453068800).

1248491520 is an abundant number, since it is smaller than the sum of its proper divisors (3657646080).

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

1248491520 is a wasteful number, since it uses less digits than its factorization.

1248491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1248491520 is about 35333.9994905756. Note that the first 3 decimals coincide. The cubic root of 1248491520 is about 1076.7838477044.

Adding to 1248491520 its sum of digits (36), we get a square (1248491556 = 35334²).

The spelling of 1248491520 in words is "one billion, two hundred forty-eight million, four hundred ninety-one thousand, five hundred twenty".