264880432 has 40 divisors (see below), whose sum is σ = 540969840. Its totient is φ = 125448960.

The previous prime is 264880423. The next prime is 264880439. The reversal of 264880432 is 234088462.

264880432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×264880432³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 264880391 and 264880400.

It is not an unprimeable number, because it can be changed into a prime (264880439) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19207 + ... + 29977.

It is an arithmetic number, because the mean of its divisors is an integer number (13524246).

Almost surely, 2^264880432 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 264880432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270484920).

264880432 is an abundant number, since it is smaller than the sum of its proper divisors (276089408).

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

264880432 is a wasteful number, since it uses less digits than its factorization.

264880432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861 (or 10855 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 264880432 is about 16275.1476798215. The cubic root of 264880432 is about 642.2192100226.

The spelling of 264880432 in words is "two hundred sixty-four million, eight hundred eighty thousand, four hundred thirty-two".