230653440 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 59351040.

The previous prime is 230653439. The next prime is 230653441. The reversal of 230653440 is 44356032.

230653440 is a `hidden beast` number, since 2 + 3 + 0 + 653 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230653439) and next prime (230653441).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230653441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3248605 + ... + 3248675.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^230653440 is an apocalyptic number.

230653440 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 230653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

230653440 is an abundant number, since it is smaller than the sum of its proper divisors (617863680).

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

230653440 is an equidigital number, since it uses as much as digits as its factorization.

230653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 230653440 is about 15187.2788872793. The cubic root of 230653440 is about 613.2722476445.

The spelling of 230653440 in words is "two hundred thirty million, six hundred fifty-three thousand, four hundred forty".