230952480 has 384 divisors, whose sum is σ = 877879296. Its totient is φ = 50380800.

The previous prime is 230952479. The next prime is 230952493. The reversal of 230952480 is 84259032.

It is a happy number.

230952480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2782519 + ... + 2782601.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 2^230952480 is an apocalyptic number.

230952480 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 230952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438939648).

230952480 is an abundant number, since it is smaller than the sum of its proper divisors (646926816).

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

230952480 is a wasteful number, since it uses less digits than its factorization.

230952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 230952480 is about 15197.1207799372. The cubic root of 230952480 is about 613.5371670755.

The spelling of 230952480 in words is "two hundred thirty million, nine hundred fifty-two thousand, four hundred eighty".