240272352 has 192 divisors, whose sum is σ = 744629760. Its totient is φ = 75220992.

The previous prime is 240272327. The next prime is 240272353. The reversal of 240272352 is 253272042.

240272352 is a `hidden beast` number, since 2 + 40 + 272 + 352 = 666.

It is a super-2 number, since 2×240272352² = 115461606271223808, which contains 22 as substring.

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 (240272353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2126248 + ... + 2126360.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^240272352 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 240272352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372314880).

240272352 is an abundant number, since it is smaller than the sum of its proper divisors (504357408).

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

240272352 is a wasteful number, since it uses less digits than its factorization.

240272352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 240272352 is about 15500.7210154883. The cubic root of 240272352 is about 621.6814848232.

The spelling of 240272352 in words is "two hundred forty million, two hundred seventy-two thousand, three hundred fifty-two".