234142400 has 84 divisors (see below), whose sum is σ = 585825600. Its totient is φ = 92083200.

The previous prime is 234142397. The next prime is 234142409. The reversal of 234142400 is 4241432.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (234142409) 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, 96401 + ... + 98799.

Almost surely, 2^234142400 is an apocalyptic number.

234142400 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 234142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292912800).

234142400 is an abundant number, since it is smaller than the sum of its proper divisors (351683200).

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

234142400 is a wasteful number, since it uses less digits than its factorization.

234142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234142400 is about 15301.7123224821. The cubic root of 234142400 is about 616.3489898542.

Adding to 234142400 its reverse (4241432), we get a palindrome (238383832).

The spelling of 234142400 in words is "two hundred thirty-four million, one hundred forty-two thousand, four hundred".