264464240 has 80 divisors (see below), whose sum is σ = 655591968. Its totient is φ = 98869248.

The previous prime is 264464203. The next prime is 264464251. The reversal of 264464240 is 42464462.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 264464197 and 264464206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221084 + ... + 222276.

Almost surely, 2^264464240 is an apocalyptic number.

264464240 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 264464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327795984).

264464240 is an abundant number, since it is smaller than the sum of its proper divisors (391127728).

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

264464240 is a wasteful number, since it uses less digits than its factorization.

264464240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 264464240 is about 16262.3565328030. The cubic root of 264464240 is about 641.8826725032.

The spelling of 264464240 in words is "two hundred sixty-four million, four hundred sixty-four thousand, two hundred forty".