264017280 has 128 divisors (see below), whose sum is σ = 847008000. Its totient is φ = 69949440.

The previous prime is 264017249. The next prime is 264017321. The reversal of 264017280 is 82710462.

264017280 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 (128).

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

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, 381735 + ... + 382425.

It is an arithmetic number, because the mean of its divisors is an integer number (6617250).

Almost surely, 2^264017280 is an apocalyptic number.

264017280 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 264017280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423504000).

264017280 is an abundant number, since it is smaller than the sum of its proper divisors (582990720).

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

264017280 is a wasteful number, since it uses less digits than its factorization.

264017280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 264017280 is about 16248.6085558118. The cubic root of 264017280 is about 641.5208622072.

The spelling of 264017280 in words is "two hundred sixty-four million, seventeen thousand, two hundred eighty".