234414400 has 168 divisors, whose sum is σ = 663305760. Its totient is φ = 80640000.

The previous prime is 234414391. The next prime is 234414407. The reversal of 234414400 is 4414432.

It is a super-2 number, since 2×234414400² = 109900221854720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234414407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334050 + ... + 334750.

Almost surely, 2^234414400 is an apocalyptic number.

234414400 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 234414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331652880).

234414400 is an abundant number, since it is smaller than the sum of its proper divisors (428891360).

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

234414400 is a wasteful number, since it uses less digits than its factorization.

234414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 234414400 is about 15310.5976369311. The cubic root of 234414400 is about 616.5875655378.

Adding to 234414400 its reverse (4414432), we get a palindrome (238828832).

The spelling of 234414400 in words is "two hundred thirty-four million, four hundred fourteen thousand, four hundred".