4320400 has 60 divisors (see below), whose sum is σ = 11870272. Its totient is φ = 1480320.

The previous prime is 4320383. The next prime is 4320419. The reversal of 4320400 is 40234.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2029 + ... + 3571.

Almost surely, 2^4320400 is an apocalyptic number.

4320400 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 4320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935136).

4320400 is an abundant number, since it is smaller than the sum of its proper divisors (7549872).

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

4320400 is a wasteful number, since it uses less digits than its factorization.

4320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 4320400 is about 2078.5571919002. The cubic root of 4320400 is about 162.8700835398.

Adding to 4320400 its reverse (40234), we get a palindrome (4360634).

It can be divided in two parts, 4320 and 400, that multiplied together give a cube (1728000 = 120³).

The spelling of 4320400 in words is "four million, three hundred twenty thousand, four hundred".