264084480 has 264 divisors, whose sum is σ = 1000147824. Its totient is φ = 63897600.

The previous prime is 264084463. The next prime is 264084517. The reversal of 264084480 is 84480462.

264084480 is a `hidden beast` number, since 2 + 640 + 8 + 4 + 4 + 8 + 0 = 666.

264084480 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 (264).

It is a super-2 number, since 2×264084480² = 139481225153740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506620 + ... + 507140.

Almost surely, 2^264084480 is an apocalyptic number.

264084480 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 264084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500073912).

264084480 is an abundant number, since it is smaller than the sum of its proper divisors (736063344).

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

264084480 is a wasteful number, since it uses less digits than its factorization.

264084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 264084480 is about 16250.6762936193. The cubic root of 264084480 is about 641.5752861006.

The spelling of 264084480 in words is "two hundred sixty-four million, eighty-four thousand, four hundred eighty".