230929776 has 240 divisors, whose sum is σ = 821733120. Its totient is φ = 58798080.

The previous prime is 230929759. The next prime is 230929793. The reversal of 230929776 is 677929032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230929759) and next prime (230929793).

It is a super-2 number, since 2×230929776² = 106657122886820352, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 654016 + ... + 654368.

It is an arithmetic number, because the mean of its divisors is an integer number (3423888).

Almost surely, 2^230929776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230929776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410866560).

230929776 is an abundant number, since it is smaller than the sum of its proper divisors (590803344).

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

230929776 is a wasteful number, since it uses less digits than its factorization.

230929776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 230929776 is about 15196.3737779774. The cubic root of 230929776 is about 613.5170616346.

The spelling of 230929776 in words is "two hundred thirty million, nine hundred twenty-nine thousand, seven hundred seventy-six".