240905340 has 336 divisors, whose sum is σ = 863767296. Its totient is φ = 55987200.

The previous prime is 240905333. The next prime is 240905341. The reversal of 240905340 is 43509042.

240905340 is a `hidden beast` number, since 2 + 40 + 90 + 534 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240905341) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5875720 + ... + 5875760.

It is an arithmetic number, because the mean of its divisors is an integer number (2570736).

Almost surely, 2^240905340 is an apocalyptic number.

240905340 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 240905340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431883648).

240905340 is an abundant number, since it is smaller than the sum of its proper divisors (622861956).

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

240905340 is a wasteful number, since it uses less digits than its factorization.

240905340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

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

The square root of 240905340 is about 15521.1256035121. The cubic root of 240905340 is about 622.2269378658.

The spelling of 240905340 in words is "two hundred forty million, nine hundred five thousand, three hundred forty".