264235440 has 120 divisors (see below), whose sum is σ = 952907760. Its totient is φ = 60393984.

The previous prime is 264235429. The next prime is 264235441. The reversal of 264235440 is 44532462.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 264235398 and 264235407.

It is not an unprimeable number, because it can be changed into a prime (264235441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526 + ... + 22994.

It is an arithmetic number, because the mean of its divisors is an integer number (7940898).

Almost surely, 2^264235440 is an apocalyptic number.

264235440 is a gapful number since it is divisible by the number (20) 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 264235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476453880).

264235440 is an abundant number, since it is smaller than the sum of its proper divisors (688672320).

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

264235440 is a wasteful number, since it uses less digits than its factorization.

264235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22499 (or 22486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 264235440 is about 16255.3203598084. The cubic root of 264235440 is about 641.6975118322.

The spelling of 264235440 in words is "two hundred sixty-four million, two hundred thirty-five thousand, four hundred forty".