384431760 has 120 divisors (see below), whose sum is σ = 1312364664. Its totient is φ = 100823040.

The previous prime is 384431759. The next prime is 384431767. The reversal of 384431760 is 67134483.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 364504464 = 4464^2 + 19092^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (384431767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39544 + ... + 48296.

Almost surely, 2^384431760 is an apocalyptic number.

384431760 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 384431760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656182332).

384431760 is an abundant number, since it is smaller than the sum of its proper divisors (927932904).

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

384431760 is a wasteful number, since it uses less digits than its factorization.

384431760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 384431760 is about 19606.9314274315. The cubic root of 384431760 is about 727.1205517593.

The spelling of 384431760 in words is "three hundred eighty-four million, four hundred thirty-one thousand, seven hundred sixty".