233440400 has 60 divisors (see below), whose sum is σ = 576034932. Its totient is φ = 90846720.

The previous prime is 233440393. The next prime is 233440411. The reversal of 233440400 is 4044332.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3857296 + 229583104 = 1964^2 + 15152^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6914 + ... + 22686.

Almost surely, 2^233440400 is an apocalyptic number.

233440400 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 233440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288017466).

233440400 is an abundant number, since it is smaller than the sum of its proper divisors (342594532).

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

233440400 is a wasteful number, since it uses less digits than its factorization.

233440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828 (or 15817 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 233440400 is about 15278.7564939036. The cubic root of 233440400 is about 615.7323990866.

Adding to 233440400 its reverse (4044332), we get a palindrome (237484732).

The spelling of 233440400 in words is "two hundred thirty-three million, four hundred forty thousand, four hundred".