231306480 has 120 divisors (see below), whose sum is σ = 783954288. Its totient is φ = 61114368.

The previous prime is 231306479. The next prime is 231306487. The reversal of 231306480 is 84603132.

It is a happy number.

231306480 is a `hidden beast` number, since 2 + 3 + 13 + 0 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×231306480³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231306487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79939 + ... + 82781.

Almost surely, 2^231306480 is an apocalyptic number.

231306480 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 231306480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391977144).

231306480 is an abundant number, since it is smaller than the sum of its proper divisors (552647808).

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

231306480 is a wasteful number, since it uses less digits than its factorization.

231306480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 231306480 is about 15208.7632633295. The cubic root of 231306480 is about 613.8504801317.

The spelling of 231306480 in words is "two hundred thirty-one million, three hundred six thousand, four hundred eighty".