240495024 has 160 divisors (see below), whose sum is σ = 799948800. Its totient is φ = 60422400.

The previous prime is 240495023. The next prime is 240495029. The reversal of 240495024 is 420594042.

240495024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240494982 and 240495000.

It is not an unprimeable number, because it can be changed into a prime (240495023) 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, 113527 + ... + 115625.

It is an arithmetic number, because the mean of its divisors is an integer number (4999680).

Almost surely, 2^240495024 is an apocalyptic number.

240495024 is a gapful number since it is divisible by the number (24) 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 240495024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399974400).

240495024 is an abundant number, since it is smaller than the sum of its proper divisors (559453776).

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

240495024 is a wasteful number, since it uses less digits than its factorization.

240495024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 240495024 is about 15507.9019857620. The cubic root of 240495024 is about 621.8734729523.

The spelling of 240495024 in words is "two hundred forty million, four hundred ninety-five thousand, twenty-four".