264875520 has 320 divisors, whose sum is σ = 1044933120. Its totient is φ = 55738368.

The previous prime is 264875519. The next prime is 264875543. The reversal of 264875520 is 25578462.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×264875520³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 698691 + ... + 699069.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^264875520 is an apocalyptic number.

264875520 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 264875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522466560).

264875520 is an abundant number, since it is smaller than the sum of its proper divisors (780057600).

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

264875520 is a wasteful number, since it uses less digits than its factorization.

264875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 264875520 is about 16274.9967741932. The cubic root of 264875520 is about 642.2152401808.

The spelling of 264875520 in words is "two hundred sixty-four million, eight hundred seventy-five thousand, five hundred twenty".