264404064 has 48 divisors (see below), whose sum is σ = 695347632. Its totient is φ = 87971328.

The previous prime is 264404059. The next prime is 264404069. The reversal of 264404064 is 460404462.

264404064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (264404059) and next prime (264404069).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264404069) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56602 + ... + 61094.

It is an arithmetic number, because the mean of its divisors is an integer number (14486409).

Almost surely, 2^264404064 is an apocalyptic number.

264404064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

264404064 is an abundant number, since it is smaller than the sum of its proper divisors (430943568).

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

264404064 is a wasteful number, since it uses less digits than its factorization.

264404064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 264404064 is about 16260.5062651813. The cubic root of 264404064 is about 641.8339843053.

The spelling of 264404064 in words is "two hundred sixty-four million, four hundred four thousand, sixty-four".