230782500 has 240 divisors, whose sum is σ = 808241280. Its totient is φ = 56592000.

The previous prime is 230782471. The next prime is 230782523. The reversal of 230782500 is 5287032.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 877369 + ... + 877631.

It is an arithmetic number, because the mean of its divisors is an integer number (3367672).

Almost surely, 2^230782500 is an apocalyptic number.

230782500 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 230782500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404120640).

230782500 is an abundant number, since it is smaller than the sum of its proper divisors (577458780).

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

230782500 is a wasteful number, since it uses less digits than its factorization.

230782500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 230782500 is about 15191.5272438290. The cubic root of 230782500 is about 613.3866099226.

The spelling of 230782500 in words is "two hundred thirty million, seven hundred eighty-two thousand, five hundred".