230748480 has 224 divisors, whose sum is σ = 862462080. Its totient is φ = 57876480.

The previous prime is 230748473. The next prime is 230748481. The reversal of 230748480 is 84847032.

It is a super-2 number, since 2×230748480² = 106489722044620800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230748481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 146095 + ... + 147665.

Almost surely, 2^230748480 is an apocalyptic number.

230748480 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 230748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431231040).

230748480 is an abundant number, since it is smaller than the sum of its proper divisors (631713600).

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

230748480 is a wasteful number, since it uses less digits than its factorization.

230748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 230748480 is about 15190.4074994715. The cubic root of 230748480 is about 613.3564683565.

The spelling of 230748480 in words is "two hundred thirty million, seven hundred forty-eight thousand, four hundred eighty".