264499992 has 80 divisors (see below), whose sum is σ = 751410000. Its totient is φ = 86909760.

The previous prime is 264499943. The next prime is 264499997. The reversal of 264499992 is 299994462.

264499992 is a `hidden beast` number, since 2 + 64 + 499 + 9 + 92 = 666.

It is a super-3 number, since 3×264499992³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264499997) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43134 + ... + 48882.

It is an arithmetic number, because the mean of its divisors is an integer number (9392625).

Almost surely, 2^264499992 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 264499992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375705000).

264499992 is an abundant number, since it is smaller than the sum of its proper divisors (486910008).

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

264499992 is a wasteful number, since it uses less digits than its factorization.

264499992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5838 (or 5825 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The square root of 264499992 is about 16263.4557213404. The cubic root of 264499992 is about 641.9115958279.

The spelling of 264499992 in words is "two hundred sixty-four million, four hundred ninety-nine thousand, nine hundred ninety-two".