1248416832 has 56 divisors (see below), whose sum is σ = 3557194816. Its totient is φ = 384127488.

The previous prime is 1248416809. The next prime is 1248416843. The reversal of 1248416832 is 2386148421.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 247588 + ... + 252579.

It is an arithmetic number, because the mean of its divisors is an integer number (63521336).

Almost surely, 2^1248416832 is an apocalyptic number.

1248416832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1248416832 is an abundant number, since it is smaller than the sum of its proper divisors (2308777984).

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

1248416832 is a wasteful number, since it uses less digits than its factorization.

1248416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500195 (or 500185 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 1248416832 is about 35332.9425890344. The cubic root of 1248416832 is about 1076.7623752757.

The spelling of 1248416832 in words is "one billion, two hundred forty-eight million, four hundred sixteen thousand, eight hundred thirty-two".