230778240 has 384 divisors, whose sum is σ = 937681920. Its totient is φ = 47738880.

The previous prime is 230778209. The next prime is 230778241. The reversal of 230778240 is 42877032.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230778241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034769 + ... + 1034991.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^230778240 is an apocalyptic number.

230778240 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 230778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

230778240 is an abundant number, since it is smaller than the sum of its proper divisors (706903680).

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

230778240 is a wasteful number, since it uses less digits than its factorization.

230778240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 230778240 is about 15191.3870334476. The cubic root of 230778240 is about 613.3828357441.

The spelling of 230778240 in words is "two hundred thirty million, seven hundred seventy-eight thousand, two hundred forty".