233349648 has 160 divisors (see below), whose sum is σ = 729096192. Its totient is φ = 62899200.

The previous prime is 233349637. The next prime is 233349709. The reversal of 233349648 is 846943332.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 447628 + ... + 448148.

Almost surely, 2^233349648 is an apocalyptic number.

233349648 is a gapful number since it is divisible by the number (28) 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 233349648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364548096).

233349648 is an abundant number, since it is smaller than the sum of its proper divisors (495746544).

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

233349648 is a wasteful number, since it uses less digits than its factorization.

233349648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 233349648 is about 15275.7863300061. The cubic root of 233349648 is about 615.6525982904.

The spelling of 233349648 in words is "two hundred thirty-three million, three hundred forty-nine thousand, six hundred forty-eight".