233046468 has 72 divisors (see below), whose sum is σ = 610821120. Its totient is φ = 74839680.

The previous prime is 233046449. The next prime is 233046481. The reversal of 233046468 is 864640332.

It is a happy number.

233046468 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 4 + 646 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 409288 + ... + 409856.

Almost surely, 2^233046468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233046468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305410560).

233046468 is an abundant number, since it is smaller than the sum of its proper divisors (377774652).

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

233046468 is a wasteful number, since it uses less digits than its factorization.

233046468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 233046468 is about 15265.8595565399. The cubic root of 233046468 is about 615.3858534414.

The spelling of 233046468 in words is "two hundred thirty-three million, forty-six thousand, four hundred sixty-eight".