240464 has 40 divisors (see below), whose sum is σ = 565440. Its totient is φ = 96768.

The previous prime is 240437. The next prime is 240473. The reversal of 240464 is 464042.

240464 = T₁ + T₂ + ... + T₁₁₂.

240464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

240464 is a nontrivial binomial coefficient, being equal to C(114, 3).

It is a congruent number.

It is an unprimeable number.

It is the 112-nd tetrahedral number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2072 + ... + 2184.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2²⁴⁰⁴⁶⁴ 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 240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

240464 is an abundant number, since it is smaller than the sum of its proper divisors (324976).

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

240464 is a wasteful number, since it uses less digits than its factorization.

240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 240464 is about 490.3712879034. The cubic root of 240464 is about 62.1846731121.

The spelling of 240464 in words is "two hundred forty thousand, four hundred sixty-four".