384061440 has 416 divisors, whose sum is σ = 1509765120. Its totient is φ = 81395712.

The previous prime is 384061439. The next prime is 384061441. The reversal of 384061440 is 44160483.

It is an interprime number because it is at equal distance from previous prime (384061439) and next prime (384061441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 384061398 and 384061407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384061441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8171497 + ... + 8171543.

Almost surely, 2^384061440 is an apocalyptic number.

384061440 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 384061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754882560).

384061440 is an abundant number, since it is smaller than the sum of its proper divisors (1125703680).

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

384061440 is a wasteful number, since it uses less digits than its factorization.

384061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 384061440 is about 19597.4855529989. The cubic root of 384061440 is about 726.8870003049.

It can be divided in two parts, 3840 and 61440, that multiplied together give a square (235929600 = 15360²).

The spelling of 384061440 in words is "three hundred eighty-four million, sixty-one thousand, four hundred forty".