4089400 has 96 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1330560.

The previous prime is 4089347. The next prime is 4089413. The reversal of 4089400 is 49804.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32137 + ... + 32263.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 2^4089400 is an apocalyptic number.

4089400 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 4089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

4089400 is an abundant number, since it is smaller than the sum of its proper divisors (7338440).

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

4089400 is a wasteful number, since it uses less digits than its factorization.

4089400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 4089400 is about 2022.2264957220. The cubic root of 4089400 is about 159.9140163008.

It can be divided in two parts, 4089 and 400, that added together give a square (4489 = 67²).

The spelling of 4089400 in words is "four million, eighty-nine thousand, four hundred".