230396040 has 288 divisors, whose sum is σ = 897113880. Its totient is φ = 51093504.

The previous prime is 230396029. The next prime is 230396041. The reversal of 230396040 is 40693032.

230396040 is a `hidden beast` number, since 23 + 0 + 39 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212401476 + 17994564 = 14574^2 + 4242^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230395995 and 230396013.

It is not an unprimeable number, because it can be changed into a prime (230396041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 652504 + ... + 652856.

Almost surely, 2^230396040 is an apocalyptic number.

230396040 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 230396040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448556940).

230396040 is an abundant number, since it is smaller than the sum of its proper divisors (666717840).

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

230396040 is a wasteful number, since it uses less digits than its factorization.

230396040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 230396040 is about 15178.8023242942. The cubic root of 230396040 is about 613.0440336432.

The spelling of 230396040 in words is "two hundred thirty million, three hundred ninety-six thousand, forty".