233401520 has 80 divisors (see below), whose sum is σ = 606523680. Its totient is φ = 82790400.

The previous prime is 233401507. The next prime is 233401523. The reversal of 233401520 is 25104332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 233401492 and 233401501.

It is not an unprimeable number, because it can be changed into a prime (233401523) 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, 32846 + ... + 39314.

It is an arithmetic number, because the mean of its divisors is an integer number (7581546).

Almost surely, 2^233401520 is an apocalyptic number.

233401520 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 233401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303261840).

233401520 is an abundant number, since it is smaller than the sum of its proper divisors (373122160).

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

233401520 is a wasteful number, since it uses less digits than its factorization.

233401520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6534 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 233401520 is about 15277.4840860660. The cubic root of 233401520 is about 615.6982133375.

Adding to 233401520 its reverse (25104332), we get a palindrome (258505852).

The spelling of 233401520 in words is "two hundred thirty-three million, four hundred one thousand, five hundred twenty".