240725760 has 288 divisors, whose sum is σ = 865347840. Its totient is φ = 56524800.

The previous prime is 240725759. The next prime is 240725783. The reversal of 240725760 is 67527042.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731771 + ... + 1731909.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2^240725760 is an apocalyptic number.

240725760 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 240725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432673920).

240725760 is an abundant number, since it is smaller than the sum of its proper divisors (624622080).

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

240725760 is a wasteful number, since it uses less digits than its factorization.

240725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 240725760 is about 15515.3395064368. The cubic root of 240725760 is about 622.0722888932.

The spelling of 240725760 in words is "two hundred forty million, seven hundred twenty-five thousand, seven hundred sixty".