1248359040 has 384 divisors, whose sum is σ = 4678128000. Its totient is φ = 317509632.

The previous prime is 1248359029. The next prime is 1248359041. The reversal of 1248359040 is 409538421.

1248359040 is a `hidden beast` number, since 1 + 24 + 8 + 3 + 590 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1248358986 and 1248359004.

It is not an unprimeable number, because it can be changed into a prime (1248359041) by changing a digit.

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, 3576786 + ... + 3577134.

It is an arithmetic number, because the mean of its divisors is an integer number (12182625).

Almost surely, 2^1248359040 is an apocalyptic number.

1248359040 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 1248359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339064000).

1248359040 is an abundant number, since it is smaller than the sum of its proper divisors (3429768960).

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

1248359040 is an equidigital number, since it uses as much as digits as its factorization.

1248359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1248359040 is about 35332.1247592046. The cubic root of 1248359040 is about 1076.7457597752.

The spelling of 1248359040 in words is "one billion, two hundred forty-eight million, three hundred fifty-nine thousand, forty".