1468428384 has 48 divisors (see below), whose sum is σ = 3875966640. Its totient is φ = 486766080.

The previous prime is 1468428383. The next prime is 1468428413. The reversal of 1468428384 is 4838248641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1468428383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24879 + ... + 59630.

It is an arithmetic number, because the mean of its divisors is an integer number (80749305).

Almost surely, 2^1468428384 is an apocalyptic number.

It is an amenable number.

1468428384 is an abundant number, since it is smaller than the sum of its proper divisors (2407538256).

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

1468428384 is a wasteful number, since it uses less digits than its factorization.

1468428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84703 (or 84695 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 1468428384 is about 38320.0780792524. The cubic root of 1468428384 is about 1136.6260105149.

The spelling of 1468428384 in words is "one billion, four hundred sixty-eight million, four hundred twenty-eight thousand, three hundred eighty-four".