384733440 has 432 divisors, whose sum is σ = 1642787328. Its totient is φ = 80953344.

The previous prime is 384733439. The next prime is 384733457. The reversal of 384733440 is 44337483.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 384733395 and 384733404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048137 + ... + 1048503.

Almost surely, 2^384733440 is an apocalyptic number.

384733440 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 384733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821393664).

384733440 is an abundant number, since it is smaller than the sum of its proper divisors (1258053888).

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

384733440 is a wasteful number, since it uses less digits than its factorization.

384733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 384733440 is about 19614.6231164404. The cubic root of 384733440 is about 727.3107028655.

The spelling of 384733440 in words is "three hundred eighty-four million, seven hundred thirty-three thousand, four hundred forty".