230579280 has 120 divisors (see below), whose sum is σ = 777715848. Its totient is φ = 61221888.

The previous prime is 230579233. The next prime is 230579281. The reversal of 230579280 is 82975032.

It is a happy number.

230579280 is a `hidden beast` number, since 2 + 3 + 0 + 579 + 2 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 82519056 = 12168^2 + 9084^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230579281) 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, 210414 + ... + 211506.

Almost surely, 2^230579280 is an apocalyptic number.

230579280 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 230579280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388857924).

230579280 is an abundant number, since it is smaller than the sum of its proper divisors (547136568).

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

230579280 is a wasteful number, since it uses less digits than its factorization.

230579280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 230579280 is about 15184.8371739706. The cubic root of 230579280 is about 613.2065138969.

The spelling of 230579280 in words is "two hundred thirty million, five hundred seventy-nine thousand, two hundred eighty".