233376000 has 576 divisors, whose sum is σ = 964244736. Its totient is φ = 49152000.

The previous prime is 233375971. The next prime is 233376041. The reversal of 233376000 is 673332.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13727992 + ... + 13728008.

It is an arithmetic number, because the mean of its divisors is an integer number (1674036).

Almost surely, 2^233376000 is an apocalyptic number.

233376000 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 233376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482122368).

233376000 is an abundant number, since it is smaller than the sum of its proper divisors (730868736).

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

233376000 is a wasteful number, since it uses less digits than its factorization.

233376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 233376000 is about 15276.6488471785. The cubic root of 233376000 is about 615.6757724794.

The spelling of 233376000 in words is "two hundred thirty-three million, three hundred seventy-six thousand".