233400400 has 30 divisors (see below), whose sum is σ = 560745422. Its totient is φ = 93360000.

The previous prime is 233400397. The next prime is 233400407. The reversal of 233400400 is 4004332.

It can be written as a sum of positive squares in 3 ways, for example, as 43401744 + 189998656 = 6588^2 + 13784^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233400407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 291351 + ... + 292150.

Almost surely, 2^233400400 is an apocalyptic number.

233400400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233400400 is an abundant number, since it is smaller than the sum of its proper divisors (327345022).

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

233400400 is a wasteful number, since it uses less digits than its factorization.

233400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583519 (or 583508 counting only the distinct ones).

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

The square root of 233400400 is about 15277.4474307719. The cubic root of 233400400 is about 615.6972285065.

Adding to 233400400 its reverse (4004332), we get a palindrome (237404732).

The spelling of 233400400 in words is "two hundred thirty-three million, four hundred thousand, four hundred".