230916240 has 120 divisors (see below), whose sum is σ = 781487928. Its totient is φ = 61102080.

The previous prime is 230916233. The next prime is 230916247. The reversal of 230916240 is 42619032.

230916240 is a `hidden beast` number, since 2 + 30 + 9 + 1 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230916233) and next prime (230916247).

It can be written as a sum of positive squares in 4 ways, for example, as 42458256 + 188457984 = 6516^2 + 13728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (230916247) 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, 97470 + ... + 99810.

Almost surely, 2^230916240 is an apocalyptic number.

230916240 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 230916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390743964).

230916240 is an abundant number, since it is smaller than the sum of its proper divisors (550571688).

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

230916240 is a wasteful number, since it uses less digits than its factorization.

230916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 230916240 is about 15195.9284020424. The cubic root of 230916240 is about 613.5050742542.

The spelling of 230916240 in words is "two hundred thirty million, nine hundred sixteen thousand, two hundred forty".