230522400 has 216 divisors, whose sum is σ = 823517604. Its totient is φ = 60672000.

The previous prime is 230522389. The next prime is 230522419. The reversal of 230522400 is 4225032.

It can be written as a sum of positive squares in 6 ways, for example, as 87385104 + 143137296 = 9348^2 + 11964^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 727042 + ... + 727358.

Almost surely, 2^230522400 is an apocalyptic number.

230522400 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 230522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411758802).

230522400 is an abundant number, since it is smaller than the sum of its proper divisors (592995204).

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

230522400 is a wasteful number, since it uses less digits than its factorization.

230522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 230522400 is about 15182.9641374799. The cubic root of 230522400 is about 613.1560871992.

Adding to 230522400 its reverse (4225032), we get a palindrome (234747432).

It can be divided in two parts, 23052 and 2400, that added together give a palindrome (25452).

The spelling of 230522400 in words is "two hundred thirty million, five hundred twenty-two thousand, four hundred".