233982000 has 320 divisors, whose sum is σ = 959462400. Its totient is φ = 53395200.

The previous prime is 233981989. The next prime is 233982029. The reversal of 233982000 is 289332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 377691 + ... + 378309.

It is an arithmetic number, because the mean of its divisors is an integer number (2998320).

Almost surely, 2^233982000 is an apocalyptic number.

233982000 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 233982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479731200).

233982000 is an abundant number, since it is smaller than the sum of its proper divisors (725480400).

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

233982000 is a wasteful number, since it uses less digits than its factorization.

233982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 233982000 is about 15296.4701810581. The cubic root of 233982000 is about 616.2082137540.

The spelling of 233982000 in words is "two hundred thirty-three million, nine hundred eighty-two thousand".