4032000 has 240 divisors, whose sum is σ = 16597152. Its totient is φ = 921600.

The previous prime is 4031987. The next prime is 4032029. The reversal of 4032000 is 2304.

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 (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an Ulam number.

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, 575997 + ... + 576003.

Almost surely, 2^4032000 is an apocalyptic number.

4032000 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 4032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8298576).

4032000 is an abundant number, since it is smaller than the sum of its proper divisors (12565152).

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

4032000 is an equidigital number, since it uses as much as digits as its factorization.

4032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 4032000 is about 2007.9840636818. The cubic root of 4032000 is about 159.1622883159.

Adding to 4032000 its reverse (2304), we get a palindrome (4034304).

The spelling of 4032000 in words is "four million, thirty-two thousand", and thus it is an eban number.