232769000 has 64 divisors (see below), whose sum is σ = 573393600. Its totient is φ = 88200000.

The previous prime is 232768999. The next prime is 232769003. The reversal of 232769000 is 967232.

It is a super-2 number, since 2×232769000² = 108362814722000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232769003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12875 + ... + 25125.

It is an arithmetic number, because the mean of its divisors is an integer number (8959275).

Almost surely, 2^232769000 is an apocalyptic number.

232769000 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 232769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286696800).

232769000 is an abundant number, since it is smaller than the sum of its proper divisors (340624600).

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

232769000 is a wasteful number, since it uses less digits than its factorization.

232769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12291 (or 12277 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 232769000 is about 15256.7689895338. The cubic root of 232769000 is about 615.1415277869.

The spelling of 232769000 in words is "two hundred thirty-two million, seven hundred sixty-nine thousand".