240945152 has 84 divisors (see below), whose sum is σ = 562067415. Its totient is φ = 103262208.

The previous prime is 240945149. The next prime is 240945157. The reversal of 240945152 is 251549042.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 120472576 + 120472576 = 10976^2 + 10976^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10976.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (240945157) by changing a digit.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 34420733 + ... + 34420739.

Almost surely, 2^240945152 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 240945152

240945152 is an abundant number, since it is smaller than the sum of its proper divisors (321122263).

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

240945152 is an frugal number, since it uses more digits than its factorization.

240945152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 9 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 240945152 is about 15522.4080606071. The cubic root of 240945152 is about 622.2612123715.

Multiplying 240945152 by its sum of digits (32), we get a square (7710244864 = 87808²).

240945152 divided by its sum of digits (32) gives a 6-th power (7529536 = 14⁶).

The spelling of 240945152 in words is "two hundred forty million, nine hundred forty-five thousand, one hundred fifty-two".