4232400 has 60 divisors (see below), whose sum is σ = 13561632. Its totient is φ = 1128320.

The previous prime is 4232357. The next prime is 4232407. The reversal of 4232400 is 42324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4232400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4232407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 2963.

Almost surely, 2^4232400 is an apocalyptic number.

4232400 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 4232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816).

4232400 is an abundant number, since it is smaller than the sum of its proper divisors (9329232).

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

4232400 is a wasteful number, since it uses less digits than its factorization.

4232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3548 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4232400 is about 2057.2797573495. The cubic root of 4232400 is about 161.7566839645.

Adding to 4232400 its reverse (42324), we get a palindrome (4274724).

Multiplying 4232400 by its reverse (42324), we get a square (179132097600 = 423240²).

4232400 divided by its reverse (42324) gives a square (100 = 10²).

The spelling of 4232400 in words is "four million, two hundred thirty-two thousand, four hundred".