240945360 has 80 divisors (see below), whose sum is σ = 749523456. Its totient is φ = 64029184.

The previous prime is 240945347. The next prime is 240945373. The reversal of 240945360 is 63549042.

240945360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (240945347) and next prime (240945373).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74497 + ... + 77663.

Almost surely, 2^240945360 is an apocalyptic number.

240945360 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 240945360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374761728).

240945360 is an abundant number, since it is smaller than the sum of its proper divisors (508578096).

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

240945360 is a wasteful number, since it uses less digits than its factorization.

240945360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 240945360 is about 15522.4147605970. The cubic root of 240945360 is about 622.2613914307.

The spelling of 240945360 in words is "two hundred forty million, nine hundred forty-five thousand, three hundred sixty".