234249120 has 288 divisors, whose sum is σ = 968018688. Its totient is φ = 50356224.

The previous prime is 234249107. The next prime is 234249131. The reversal of 234249120 is 21942432.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 170677 + ... + 172043.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2^234249120 is an apocalyptic number.

234249120 is a gapful number since it is divisible by the number (20) 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 234249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484009344).

234249120 is an abundant number, since it is smaller than the sum of its proper divisors (733769568).

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

234249120 is a wasteful number, since it uses less digits than its factorization.

234249120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 234249120 is about 15305.1991166401. The cubic root of 234249120 is about 616.4426177394.

The spelling of 234249120 in words is "two hundred thirty-four million, two hundred forty-nine thousand, one hundred twenty".