240782480 has 20 divisors (see below), whose sum is σ = 559819452. Its totient is φ = 96312960.

The previous prime is 240782473. The next prime is 240782489. The reversal of 240782480 is 84287042.

It can be written as a sum of positive squares in 2 ways, for example, as 186377104 + 54405376 = 13652^2 + 7376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 240782480.

It is not an unprimeable number, because it can be changed into a prime (240782489) 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 3 ways as a sum of consecutive naturals, for example, 1504811 + ... + 1504970.

Almost surely, 2^240782480 is an apocalyptic number.

240782480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240782480 is an abundant number, since it is smaller than the sum of its proper divisors (319036972).

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

240782480 is a wasteful number, since it uses less digits than its factorization.

240782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009794 (or 3009788 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 240782480 is about 15517.1672672560. The cubic root of 240782480 is about 622.1211427832.

The spelling of 240782480 in words is "two hundred forty million, seven hundred eighty-two thousand, four hundred eighty".