264672480 has 96 divisors (see below), whose sum is σ = 838331424. Its totient is φ = 70189056.

The previous prime is 264672469. The next prime is 264672481. The reversal of 264672480 is 84276462.

264672480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264672481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91212 + ... + 94068.

It is an arithmetic number, because the mean of its divisors is an integer number (8732619).

Almost surely, 2^264672480 is an apocalyptic number.

264672480 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 264672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419165712).

264672480 is an abundant number, since it is smaller than the sum of its proper divisors (573658944).

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

264672480 is a wasteful number, since it uses less digits than its factorization.

264672480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 264672480 is about 16268.7577890876. The cubic root of 264672480 is about 642.0511018028.

The spelling of 264672480 in words is "two hundred sixty-four million, six hundred seventy-two thousand, four hundred eighty".