264404640 has 48 divisors (see below), whose sum is σ = 832876128. Its totient is φ = 70507776.

The previous prime is 264404603. The next prime is 264404641. The reversal of 264404640 is 46404462.

264404640 is digitally balanced in base 3, 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 (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 264404598 and 264404607.

It is not an unprimeable number, because it can be changed into a prime (264404641) 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, 274942 + ... + 275901.

It is an arithmetic number, because the mean of its divisors is an integer number (17351586).

Almost surely, 2^264404640 is an apocalyptic number.

264404640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264404640 is an abundant number, since it is smaller than the sum of its proper divisors (568471488).

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

264404640 is a wasteful number, since it uses less digits than its factorization.

264404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550861 (or 550853 counting only the distinct ones).

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

The square root of 264404640 is about 16260.5239767973. The cubic root of 264404640 is about 641.8344503800.

The spelling of 264404640 in words is "two hundred sixty-four million, four hundred four thousand, six hundred forty".