264398976 has 96 divisors (see below), whose sum is σ = 764465520. Its totient is φ = 87713280.

The previous prime is 264398971. The next prime is 264398983. The reversal of 264398976 is 679893462.

It is a happy number.

264398976 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 (96).

It is not an unprimeable number, because it can be changed into a prime (264398971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 325611 + ... + 326421.

Almost surely, 2^264398976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382232760).

264398976 is an abundant number, since it is smaller than the sum of its proper divisors (500066544).

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

264398976 is a wasteful number, since it uses less digits than its factorization.

264398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1099 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 264398976 is about 16260.3498117353. The cubic root of 264398976 is about 641.8298672831.

The spelling of 264398976 in words is "two hundred sixty-four million, three hundred ninety-eight thousand, nine hundred seventy-six".