240217264 has 80 divisors (see below), whose sum is σ = 562186240. Its totient is φ = 97251840.

The previous prime is 240217249. The next prime is 240217273. The reversal of 240217264 is 462712042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148492 + ... + 150100.

It is an arithmetic number, because the mean of its divisors is an integer number (7027328).

Almost surely, 2^240217264 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 240217264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281093120).

240217264 is an abundant number, since it is smaller than the sum of its proper divisors (321968976).

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

240217264 is a wasteful number, since it uses less digits than its factorization.

240217264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 240217264 is about 15498.9439640254. The cubic root of 240217264 is about 621.6339695667.

The spelling of 240217264 in words is "two hundred forty million, two hundred seventeen thousand, two hundred sixty-four".