4234800 has 60 divisors (see below), whose sum is σ = 13569320. Its totient is φ = 1128960.

The previous prime is 4234793. The next prime is 4234801. The reversal of 4234800 is 84324.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4234801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 565 + ... + 2964.

Almost surely, 2^4234800 is an apocalyptic number.

4234800 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 4234800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784660).

4234800 is an abundant number, since it is smaller than the sum of its proper divisors (9334520).

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

4234800 is a wasteful number, since it uses less digits than its factorization.

4234800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4234800 is about 2057.8629691989. The cubic root of 4234800 is about 161.7872531203.

The spelling of 4234800 in words is "four million, two hundred thirty-four thousand, eight hundred".