7440384 has 96 divisors (see below), whose sum is σ = 22800960. Its totient is φ = 2113536.

The previous prime is 7440383. The next prime is 7440397. The reversal of 7440384 is 4830447.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (7440383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42922 + ... + 43094.

It is an arithmetic number, because the mean of its divisors is an integer number (237510).

Almost surely, 2^7440384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11400480).

7440384 is an abundant number, since it is smaller than the sum of its proper divisors (15360576).

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

7440384 is a wasteful number, since it uses less digits than its factorization.

7440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 7440384 is about 2727.7067291041. The cubic root of 7440384 is about 195.2233600996.

It can be divided in two parts, 7 and 440384, that added together give a triangular number (440391 = T₉₃₈).

The spelling of 7440384 in words is "seven million, four hundred forty thousand, three hundred eighty-four".