230462404224 has 512 divisors, whose sum is σ = 713131776000. Its totient is φ = 65399685120.

The previous prime is 230462404201. The next prime is 230462404241. The reversal of 230462404224 is 422404264032.

It is a Cunningham number, because it is equal to 480065²-1.

It is a super-2 number, since 2×230462404224² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399414624 + ... + 399415200.

It is an arithmetic number, because the mean of its divisors is an integer number (1392835500).

Almost surely, 2^230462404224 is an apocalyptic number.

230462404224 is a gapful number since it is divisible by the number (24) 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 230462404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356565888000).

230462404224 is an abundant number, since it is smaller than the sum of its proper divisors (482669371776).

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

230462404224 is a wasteful number, since it uses less digits than its factorization.

230462404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 230462404224 its reverse (422404264032), we get a palindrome (652866668256).

The spelling of 230462404224 in words is "two hundred thirty billion, four hundred sixty-two million, four hundred four thousand, two hundred twenty-four".