4392000 has 168 divisors, whose sum is σ = 15968472. Its totient is φ = 1152000.

The previous prime is 4391999. The next prime is 4392007. The reversal of 4392000 is 2934.

It can be written as a sum of positive squares in 4 ways, for example, as 1065024 + 3326976 = 1032^2 + 1824^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4392007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71970 + ... + 72030.

Almost surely, 2^4392000 is an apocalyptic number.

4392000 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 4392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984236).

4392000 is an abundant number, since it is smaller than the sum of its proper divisors (11576472).

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

4392000 is a wasteful number, since it uses less digits than its factorization.

4392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

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

The square root of 4392000 is about 2095.7099035888. The cubic root of 4392000 is about 163.7648822012.

Adding to 4392000 its reverse (2934), we get a palindrome (4394934).

The spelling of 4392000 in words is "four million, three hundred ninety-two thousand".