230929920 has 320 divisors, whose sum is σ = 886818240. Its totient is φ = 56623104.

The previous prime is 230929873. The next prime is 230929939. The reversal of 230929920 is 29929032.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898432 + ... + 898688.

It is an arithmetic number, because the mean of its divisors is an integer number (2771307).

Almost surely, 2^230929920 is an apocalyptic number.

230929920 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 230929920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443409120).

230929920 is an abundant number, since it is smaller than the sum of its proper divisors (655888320).

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

230929920 is a wasteful number, since it uses less digits than its factorization.

230929920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 230929920 is about 15196.3785159491. The cubic root of 230929920 is about 613.5171891574.

The spelling of 230929920 in words is "two hundred thirty million, nine hundred twenty-nine thousand, nine hundred twenty".