305940240 has 200 divisors, whose sum is σ = 1097572608. Its totient is φ = 78900480.

The previous prime is 305940203. The next prime is 305940247. The reversal of 305940240 is 42049503.

305940240 is a `hidden beast` number, since 30 + 594 + 0 + 2 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (305940247) 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 39 ways as a sum of consecutive naturals, for example, 200119 + ... + 201641.

Almost surely, 2^305940240 is an apocalyptic number.

305940240 is a gapful number since it is divisible by the number (30) 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 305940240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548786304).

305940240 is an abundant number, since it is smaller than the sum of its proper divisors (791632368).

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

305940240 is a wasteful number, since it uses less digits than its factorization.

305940240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 305940240 is about 17491.1474752230. The cubic root of 305940240 is about 673.8225398426.

Adding to 305940240 its reverse (42049503), we get a palindrome (347989743).

The spelling of 305940240 in words is "three hundred five million, nine hundred forty thousand, two hundred forty".