240533072 has 40 divisors (see below), whose sum is σ = 504733320. Its totient is φ = 110384640.

The previous prime is 240533071. The next prime is 240533077. The reversal of 240533072 is 270335042.

240533072 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57093136 + 183439936 = 7556^2 + 13544^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240533071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34454 + ... + 40842.

It is an arithmetic number, because the mean of its divisors is an integer number (12618333).

Almost surely, 2^240533072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252366660).

240533072 is an abundant number, since it is smaller than the sum of its proper divisors (264200248).

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

240533072 is a wasteful number, since it uses less digits than its factorization.

240533072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6591 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 240533072 is about 15509.1286666918. The cubic root of 240533072 is about 621.9062661384.

The spelling of 240533072 in words is "two hundred forty million, five hundred thirty-three thousand, seventy-two".