230320040 has 64 divisors (see below), whose sum is σ = 533174400. Its totient is φ = 89494272.

The previous prime is 230320039. The next prime is 230320073. The reversal of 230320040 is 40023032.

It is a super-3 number, since 3×230320040³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230319997 and 230320024.

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, 617294 + ... + 617666.

It is an arithmetic number, because the mean of its divisors is an integer number (8330850).

Almost surely, 2^230320040 is an apocalyptic number.

230320040 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 230320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266587200).

230320040 is an abundant number, since it is smaller than the sum of its proper divisors (302854360).

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

230320040 is a wasteful number, since it uses less digits than its factorization.

230320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 230320040 is about 15176.2986264767. The cubic root of 230320040 is about 612.9766186094.

Adding to 230320040 its reverse (40023032), we get a palindrome (270343072).

The spelling of 230320040 in words is "two hundred thirty million, three hundred twenty thousand, forty".