230361360 has 80 divisors (see below), whose sum is σ = 717662400. Its totient is φ = 61125120.

The previous prime is 230361349. The next prime is 230361379. The reversal of 230361360 is 63163032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 230361360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48366 + ... + 52914.

It is an arithmetic number, because the mean of its divisors is an integer number (8970780).

Almost surely, 2^230361360 is an apocalyptic number.

230361360 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 230361360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358831200).

230361360 is an abundant number, since it is smaller than the sum of its proper divisors (487301040).

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

230361360 is a wasteful number, since it uses less digits than its factorization.

230361360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 230361360 is about 15177.6598986800. The cubic root of 230361360 is about 613.0132729381.

The spelling of 230361360 in words is "two hundred thirty million, three hundred sixty-one thousand, three hundred sixty".