233400040 has 16 divisors (see below), whose sum is σ = 525150180. Its totient is φ = 93360000.

The previous prime is 233400029. The next prime is 233400059. The reversal of 233400040 is 40004332.

It can be written as a sum of positive squares in 2 ways, for example, as 222785476 + 10614564 = 14926^2 + 3258^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233399987 and 233400023.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2917461 + ... + 2917540.

Almost surely, 2^233400040 is an apocalyptic number.

233400040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233400040 is an abundant number, since it is smaller than the sum of its proper divisors (291750140).

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

233400040 is a wasteful number, since it uses less digits than its factorization.

233400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835012 (or 5835008 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 233400040 is about 15277.4356486944. The cubic root of 233400040 is about 615.6969119531.

Adding to 233400040 its reverse (40004332), we get a palindrome (273404372).

The spelling of 233400040 in words is "two hundred thirty-three million, four hundred thousand, forty".