234281400 has 96 divisors (see below), whose sum is σ = 764534400. Its totient is φ = 59184000.

The previous prime is 234281393. The next prime is 234281407. The reversal of 234281400 is 4182432.

It is an interprime number because it is at equal distance from previous prime (234281393) and next prime (234281407).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234281407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1125 + ... + 21675.

It is an arithmetic number, because the mean of its divisors is an integer number (7963900).

Almost surely, 2^234281400 is an apocalyptic number.

234281400 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 234281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382267200).

234281400 is an abundant number, since it is smaller than the sum of its proper divisors (530253000).

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

234281400 is a wasteful number, since it uses less digits than its factorization.

234281400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20589 (or 20580 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 234281400 is about 15306.2536239277. The cubic root of 234281400 is about 616.4709321165.

The spelling of 234281400 in words is "two hundred thirty-four million, two hundred eighty-one thousand, four hundred".