384468780 has 96 divisors (see below), whose sum is σ = 1111783680. Its totient is φ = 99221760.

The previous prime is 384468779. The next prime is 384468793. The reversal of 384468780 is 87864483.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236370 + ... + 237990.

It is an arithmetic number, because the mean of its divisors is an integer number (11581080).

Almost surely, 2^384468780 is an apocalyptic number.

384468780 is a gapful number since it is divisible by the number (30) 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 384468780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555891840).

384468780 is an abundant number, since it is smaller than the sum of its proper divisors (727314900).

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

384468780 is a wasteful number, since it uses less digits than its factorization.

384468780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 384468780 is about 19607.8754586008. The cubic root of 384468780 is about 727.1438910890.

The spelling of 384468780 in words is "three hundred eighty-four million, four hundred sixty-eight thousand, seven hundred eighty".