234962400 has 144 divisors (see below), whose sum is σ = 781449984. Its totient is φ = 61294080.

The previous prime is 234962393. The next prime is 234962401. The reversal of 234962400 is 4269432.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234962401) 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, 111759 + ... + 113841.

It is an arithmetic number, because the mean of its divisors is an integer number (5426736).

Almost surely, 2^234962400 is an apocalyptic number.

234962400 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 234962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390724992).

234962400 is an abundant number, since it is smaller than the sum of its proper divisors (546487584).

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

234962400 is a wasteful number, since it uses less digits than its factorization.

234962400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 234962400 is about 15328.4832909196. The cubic root of 234962400 is about 617.0676654913.

The spelling of 234962400 in words is "two hundred thirty-four million, nine hundred sixty-two thousand, four hundred".