230297760 has 576 divisors, whose sum is σ = 1026514944. Its totient is φ = 45619200.

The previous prime is 230297747. The next prime is 230297789. The reversal of 230297760 is 67792032.

It is a super-2 number, since 2×230297760² = 106074116522035200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3437247 + ... + 3437313.

It is an arithmetic number, because the mean of its divisors is an integer number (1782144).

Almost surely, 2^230297760 is an apocalyptic number.

230297760 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 230297760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513257472).

230297760 is an abundant number, since it is smaller than the sum of its proper divisors (796217184).

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

230297760 is a wasteful number, since it uses less digits than its factorization.

230297760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 230297760 is about 15175.5645693991. The cubic root of 230297760 is about 612.9568525490.

The spelling of 230297760 in words is "two hundred thirty million, two hundred ninety-seven thousand, seven hundred sixty".