233603040 has 192 divisors, whose sum is σ = 810819072. Its totient is φ = 56064000.

The previous prime is 233603039. The next prime is 233603053. The reversal of 233603040 is 40306332.

It is a junction number, because it is equal to n+sod(n) for n = 233602998 and 233603016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 797134 + ... + 797426.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^233603040 is an apocalyptic number.

233603040 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 233603040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405409536).

233603040 is an abundant number, since it is smaller than the sum of its proper divisors (577216032).

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

233603040 is a wasteful number, since it uses less digits than its factorization.

233603040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 233603040 is about 15284.0779898560. The cubic root of 233603040 is about 615.8753613011.

Adding to 233603040 its reverse (40306332), we get a palindrome (273909372).

It can be divided in two parts, 23 and 3603040, that added together give a palindrome (3603063).

The spelling of 233603040 in words is "two hundred thirty-three million, six hundred three thousand, forty".