384964380 has 192 divisors, whose sum is σ = 1250726400. Its totient is φ = 98219520.

The previous prime is 384964361. The next prime is 384964397. The reversal of 384964380 is 83469483.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1369840 + ... + 1370120.

It is an arithmetic number, because the mean of its divisors is an integer number (6514200).

Almost surely, 2^384964380 is an apocalyptic number.

384964380 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 384964380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625363200).

384964380 is an abundant number, since it is smaller than the sum of its proper divisors (865762020).

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

384964380 is a wasteful number, since it uses less digits than its factorization.

384964380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 384964380 is about 19620.5091677051. The cubic root of 384964380 is about 727.4561988721.

The spelling of 384964380 in words is "three hundred eighty-four million, nine hundred sixty-four thousand, three hundred eighty".