233813440 has 56 divisors (see below), whose sum is σ = 636312672. Its totient is φ = 80163840.

The previous prime is 233813389. The next prime is 233813441. The reversal of 233813440 is 44318332.

233813440 = 256² + 257² + ... + 895².

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 233813399 and 233813408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233813441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49951 + ... + 54430.

Almost surely, 2^233813440 is an apocalyptic number.

233813440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233813440 is an abundant number, since it is smaller than the sum of its proper divisors (402499232).

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

233813440 is a wasteful number, since it uses less digits than its factorization.

233813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104405 (or 104395 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 233813440 is about 15290.9594205203. The cubic root of 233813440 is about 616.0602066301.

The spelling of 233813440 in words is "two hundred thirty-three million, eight hundred thirteen thousand, four hundred forty".