234876000 has 288 divisors, whose sum is σ = 826102368. Its totient is φ = 58291200.

The previous prime is 234875999. The next prime is 234876013. The reversal of 234876000 is 678432.

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

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, 6347982 + ... + 6348018.

It is an arithmetic number, because the mean of its divisors is an integer number (2868411).

Almost surely, 2^234876000 is an apocalyptic number.

234876000 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 234876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413051184).

234876000 is an abundant number, since it is smaller than the sum of its proper divisors (591226368).

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

234876000 is a wasteful number, since it uses less digits than its factorization.

234876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 234876000 is about 15325.6647490411. The cubic root of 234876000 is about 616.9920205051.

The spelling of 234876000 in words is "two hundred thirty-four million, eight hundred seventy-six thousand".