240189264 has 120 divisors (see below), whose sum is σ = 772212480. Its totient is φ = 68269824.

The previous prime is 240189263. The next prime is 240189283. The reversal of 240189264 is 462981042.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240189263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240414 + ... + 241410.

It is an arithmetic number, because the mean of its divisors is an integer number (6435104).

Almost surely, 2^240189264 is an apocalyptic number.

240189264 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 240189264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386106240).

240189264 is an abundant number, since it is smaller than the sum of its proper divisors (532023216).

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

240189264 is a wasteful number, since it uses less digits than its factorization.

240189264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 240189264 is about 15498.0406503532. The cubic root of 240189264 is about 621.6098158386.

The spelling of 240189264 in words is "two hundred forty million, one hundred eighty-nine thousand, two hundred sixty-four".