4093440 has 160 divisors (see below), whose sum is σ = 14436576. Its totient is φ = 983040.

The previous prime is 4093433. The next prime is 4093451. The reversal of 4093440 is 443904.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4093440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99820 + ... + 99860.

Almost surely, 2^4093440 is an apocalyptic number.

4093440 is a gapful number since it is divisible by the number (40) 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 4093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288).

4093440 is an abundant number, since it is smaller than the sum of its proper divisors (10343136).

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

4093440 is a wasteful number, since it uses less digits than its factorization.

4093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 4093440 is about 2023.2251481237. The cubic root of 4093440 is about 159.9666597198.

The spelling of 4093440 in words is "four million, ninety-three thousand, four hundred forty".