233502480 has 160 divisors (see below), whose sum is σ = 851731200. Its totient is φ = 58595328.

The previous prime is 233502469. The next prime is 233502481. The reversal of 233502480 is 84205332.

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

It is not an unprimeable number, because it can be changed into a prime (233502481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33541 + ... + 39899.

It is an arithmetic number, because the mean of its divisors is an integer number (5323320).

Almost surely, 2^233502480 is an apocalyptic number.

233502480 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 233502480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425865600).

233502480 is an abundant number, since it is smaller than the sum of its proper divisors (618228720).

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

233502480 is a wasteful number, since it uses less digits than its factorization.

233502480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6398 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 233502480 is about 15280.7879377995. The cubic root of 233502480 is about 615.7869758714.

The spelling of 233502480 in words is "two hundred thirty-three million, five hundred two thousand, four hundred eighty".