264416352 has 48 divisors (see below), whose sum is σ = 695121840. Its totient is φ = 88008192.

The previous prime is 264416333. The next prime is 264416353. The reversal of 264416352 is 253614462.

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

It is a super-3 number, since 3×264416352³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264416353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80274 + ... + 83502.

It is an arithmetic number, because the mean of its divisors is an integer number (14481705).

Almost surely, 2^264416352 is an apocalyptic number.

It is an amenable number.

264416352 is an abundant number, since it is smaller than the sum of its proper divisors (430705488).

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

264416352 is a wasteful number, since it uses less digits than its factorization.

264416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4087 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 264416352 is about 16260.8841088054. The cubic root of 264416352 is about 641.8439270847.

The spelling of 264416352 in words is "two hundred sixty-four million, four hundred sixteen thousand, three hundred fifty-two".