233801424 has 80 divisors (see below), whose sum is σ = 682545600. Its totient is φ = 76604544.

The previous prime is 233801419. The next prime is 233801429. The reversal of 233801424 is 424108332.

233801424 is a `hidden beast` number, since 233 + 8 + 0 + 1 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (233801419) and next prime (233801429).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233801429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20902 + ... + 30074.

It is an arithmetic number, because the mean of its divisors is an integer number (8531820).

Almost surely, 2^233801424 is an apocalyptic number.

233801424 is a gapful number since it is divisible by the number (24) 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 233801424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341272800).

233801424 is an abundant number, since it is smaller than the sum of its proper divisors (448744176).

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

233801424 is a wasteful number, since it uses less digits than its factorization.

233801424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9249 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 233801424 is about 15290.5665035668. The cubic root of 233801424 is about 616.0496530505.

Adding to 233801424 its reverse (424108332), we get a palindrome (657909756).

The spelling of 233801424 in words is "two hundred thirty-three million, eight hundred one thousand, four hundred twenty-four".