230553540 has 216 divisors, whose sum is σ = 833257152. Its totient is φ = 52488000.

The previous prime is 230553529. The next prime is 230553553. The reversal of 230553540 is 45355032.

230553540 is a `hidden beast` number, since 2 + 305 + 5 + 354 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 918415 + ... + 918665.

It is an arithmetic number, because the mean of its divisors is an integer number (3857672).

Almost surely, 2^230553540 is an apocalyptic number.

230553540 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 230553540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416628576).

230553540 is an abundant number, since it is smaller than the sum of its proper divisors (602703612).

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

230553540 is an equidigital number, since it uses as much as digits as its factorization.

230553540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 230553540 is about 15183.9895943062. The cubic root of 230553540 is about 613.1836952478.

The spelling of 230553540 in words is "two hundred thirty million, five hundred fifty-three thousand, five hundred forty".