240754272 has 96 divisors (see below), whose sum is σ = 730041984. Its totient is φ = 68659200.

The previous prime is 240754253. The next prime is 240754303. The reversal of 240754272 is 272457042.

It is a happy number.

240754272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 11247 + ... + 24657.

It is an arithmetic number, because the mean of its divisors is an integer number (7604604).

Almost surely, 2^240754272 is an apocalyptic number.

240754272 is a gapful number since it is divisible by the number (22) 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 240754272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365020992).

240754272 is an abundant number, since it is smaller than the sum of its proper divisors (489287712).

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

240754272 is a wasteful number, since it uses less digits than its factorization.

240754272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13452 (or 13444 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 240754272 is about 15516.2583118483. The cubic root of 240754272 is about 622.0968477175.

The spelling of 240754272 in words is "two hundred forty million, seven hundred fifty-four thousand, two hundred seventy-two".