233413400 has 144 divisors (see below), whose sum is σ = 634881240. Its totient is φ = 78873600.

The previous prime is 233413399. The next prime is 233413441. The reversal of 233413400 is 4314332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2954561 + ... + 2954639.

Almost surely, 2^233413400 is an apocalyptic number.

233413400 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 233413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317440620).

233413400 is an abundant number, since it is smaller than the sum of its proper divisors (401467840).

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

233413400 is a wasteful number, since it uses less digits than its factorization.

233413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 233413400 is about 15277.8728885928. The cubic root of 233413400 is about 615.7086593858.

Adding to 233413400 its reverse (4314332), we get a palindrome (237727732).

The spelling of 233413400 in words is "two hundred thirty-three million, four hundred thirteen thousand, four hundred".