4090320 has 240 divisors, whose sum is σ = 16248960. Its totient is φ = 912384.

The previous prime is 4090309. The next prime is 4090349. The reversal of 4090320 is 230904.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4090293 and 4090302.

It is a congruent number.

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, 177829 + ... + 177851.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

Almost surely, 2^4090320 is an apocalyptic number.

4090320 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 4090320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8124480).

4090320 is an abundant number, since it is smaller than the sum of its proper divisors (12158640).

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

4090320 is a wasteful number, since it uses less digits than its factorization.

4090320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4090320 is about 2022.4539549765. The cubic root of 4090320 is about 159.9260074538.

The spelling of 4090320 in words is "four million, ninety thousand, three hundred twenty".