240948864 has 256 divisors, whose sum is σ = 795110400. Its totient is φ = 71331840.

The previous prime is 240948859. The next prime is 240948889. The reversal of 240948864 is 468849042.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1392682 + ... + 1392854.

It is an arithmetic number, because the mean of its divisors is an integer number (3105900).

Almost surely, 2^240948864 is an apocalyptic number.

240948864 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 240948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397555200).

240948864 is an abundant number, since it is smaller than the sum of its proper divisors (554161536).

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

240948864 is a wasteful number, since it uses less digits than its factorization.

240948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 240948864 is about 15522.5276292233. The cubic root of 240948864 is about 622.2644078730.

The spelling of 240948864 in words is "two hundred forty million, nine hundred forty-eight thousand, eight hundred sixty-four".