4232254400 has 168 divisors, whose sum is σ = 11429268480. Its totient is φ = 1529728000.

The previous prime is 4232254393. The next prime is 4232254423. The reversal of 4232254400 is 44522324.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4232254400.

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, 3360971 + ... + 3362229.

It is an arithmetic number, because the mean of its divisors is an integer number (68031360).

Almost surely, 2^4232254400 is an apocalyptic number.

4232254400 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 4232254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714634240).

4232254400 is an abundant number, since it is smaller than the sum of its proper divisors (7197014080).

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

4232254400 is a wasteful number, since it uses less digits than its factorization.

4232254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 4232254400 is about 65055.7791437471. The cubic root of 4232254400 is about 1617.5482906399.

Adding to 4232254400 its reverse (44522324), we get a palindrome (4276776724).

The spelling of 4232254400 in words is "four billion, two hundred thirty-two million, two hundred fifty-four thousand, four hundred".