230415120 has 240 divisors, whose sum is σ = 844945920. Its totient is φ = 55931904.

The previous prime is 230415079. The next prime is 230415137. The reversal of 230415120 is 21514032.

230415120 is a `hidden beast` number, since 230 + 415 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×230415120² = 106182255049228800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 230415093 and 230415102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963961 + ... + 964199.

It is an arithmetic number, because the mean of its divisors is an integer number (3520608).

Almost surely, 2^230415120 is an apocalyptic number.

230415120 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 230415120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422472960).

230415120 is an abundant number, since it is smaller than the sum of its proper divisors (614530800).

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

230415120 is a wasteful number, since it uses less digits than its factorization.

230415120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 230415120 is about 15179.4308193687. The cubic root of 230415120 is about 613.0609560366.

Adding to 230415120 its reverse (21514032), we get a palindrome (251929152).

It can be divided in two parts, 2304 and 15120, that added together give a square (17424 = 132²).

The spelling of 230415120 in words is "two hundred thirty million, four hundred fifteen thousand, one hundred twenty".