240314480 has 160 divisors (see below), whose sum is σ = 670433280. Its totient is φ = 78382080.

The previous prime is 240314447. The next prime is 240314483. The reversal of 240314480 is 84413042.

240314480 = T₃₈₁ + T₃₈₂ + ... + T₁₁₄₃.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240314483) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1892177 + ... + 1892303.

It is an arithmetic number, because the mean of its divisors is an integer number (4190208).

Almost surely, 2^240314480 is an apocalyptic number.

240314480 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 240314480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335216640).

240314480 is an abundant number, since it is smaller than the sum of its proper divisors (430118800).

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

240314480 is a wasteful number, since it uses less digits than its factorization.

240314480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 240314480 is about 15502.0798604574. The cubic root of 240314480 is about 621.7178167425.

The spelling of 240314480 in words is "two hundred forty million, three hundred fourteen thousand, four hundred eighty".