230821920 has 384 divisors, whose sum is σ = 979776000. Its totient is φ = 49545216.

The previous prime is 230821909. The next prime is 230821967. The reversal of 230821920 is 29128032.

It is a happy number.

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

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, 513856 + ... + 514304.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2^230821920 is an apocalyptic number.

230821920 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 230821920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489888000).

230821920 is an abundant number, since it is smaller than the sum of its proper divisors (748954080).

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

230821920 is a wasteful number, since it uses less digits than its factorization.

230821920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 230821920 is about 15192.8246221695. The cubic root of 230821920 is about 613.4215321597.

Adding to 230821920 its reverse (29128032), we get a palindrome (259949952).

The spelling of 230821920 in words is "two hundred thirty million, eight hundred twenty-one thousand, nine hundred twenty".