233480 has 32 divisors (see below), whose sum is σ = 567000. Its totient is φ = 86016.

The previous prime is 233477. The next prime is 233489. The reversal of 233480 is 84332.

It can be written as a sum of positive squares in 4 ways, for example, as 158404 + 75076 = 398^2 + 274^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (233489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296 + ... + 744.

2²³³⁴⁸⁰ is an apocalyptic number.

233480 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 233480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283500).

233480 is an abundant number, since it is smaller than the sum of its proper divisors (333520).

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

233480 is a wasteful number, since it uses less digits than its factorization.

233480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233480 is about 483.1976821136. The cubic root of 233480 is about 61.5767214004.

The spelling of 233480 in words is "two hundred thirty-three thousand, four hundred eighty".