230772480 has 144 divisors (see below), whose sum is σ = 776065920. Its totient is φ = 58281984.

The previous prime is 230772449. The next prime is 230772481. The reversal of 230772480 is 84277032.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230772481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71379 + ... + 74541.

Almost surely, 2^230772480 is an apocalyptic number.

230772480 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 230772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388032960).

230772480 is an abundant number, since it is smaller than the sum of its proper divisors (545293440).

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

230772480 is a wasteful number, since it uses less digits than its factorization.

230772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 230772480 is about 15191.1974511557. The cubic root of 230772480 is about 613.3777325557.

The spelling of 230772480 in words is "two hundred thirty million, seven hundred seventy-two thousand, four hundred eighty".