233365440 has 504 divisors, whose sum is σ = 970489296. Its totient is φ = 47308800.

The previous prime is 233365411. The next prime is 233365441. The reversal of 233365440 is 44563332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233365398 and 233365407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233365441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5691820 + ... + 5691860.

It is an arithmetic number, because the mean of its divisors is an integer number (1925574).

Almost surely, 2^233365440 is an apocalyptic number.

233365440 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 233365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485244648).

233365440 is an abundant number, since it is smaller than the sum of its proper divisors (737123856).

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

233365440 is a wasteful number, since it uses less digits than its factorization.

233365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 233365440 is about 15276.3032177291. The cubic root of 233365440 is about 615.6664861286. Note that the first 3 decimals are identical.

The spelling of 233365440 in words is "two hundred thirty-three million, three hundred sixty-five thousand, four hundred forty".