1468824384 has 112 divisors (see below), whose sum is σ = 3969520128. Its totient is φ = 479221248.

The previous prime is 1468824359. The next prime is 1468824389. The reversal of 1468824384 is 4834288641.

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 (1468824389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2919877 + ... + 2920379.

It is an arithmetic number, because the mean of its divisors is an integer number (35442144).

Almost surely, 2^1468824384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468824384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984760064).

1468824384 is an abundant number, since it is smaller than the sum of its proper divisors (2500695744).

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

1468824384 is a wasteful number, since it uses less digits than its factorization.

1468824384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 802 counting only the distinct ones).

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

The square root of 1468824384 is about 38325.2447350307. The cubic root of 1468824384 is about 1136.7281749447.

The spelling of 1468824384 in words is "one billion, four hundred sixty-eight million, eight hundred twenty-four thousand, three hundred eighty-four".