232530480 has 480 divisors, whose sum is σ = 1009310400. Its totient is φ = 49061376.

The previous prime is 232530433. The next prime is 232530491. The reversal of 232530480 is 84035232.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17886954 + ... + 17886966.

It is an arithmetic number, because the mean of its divisors is an integer number (2102730).

Almost surely, 2^232530480 is an apocalyptic number.

232530480 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 232530480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504655200).

232530480 is an abundant number, since it is smaller than the sum of its proper divisors (776779920).

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

232530480 is a wasteful number, since it uses less digits than its factorization.

232530480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 30 counting only the distinct ones).

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

The square root of 232530480 is about 15248.9501277957. The cubic root of 232530480 is about 614.9313427222.

The spelling of 232530480 in words is "two hundred thirty-two million, five hundred thirty thousand, four hundred eighty".