264349008 has 240 divisors, whose sum is σ = 957605376. Its totient is φ = 68584320.

The previous prime is 264348989. The next prime is 264349021. The reversal of 264349008 is 800943462.

It is a happy number.

264349008 is a `hidden beast` number, since 2 + 643 + 4 + 9 + 0 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 298935 + ... + 299817.

Almost surely, 2^264349008 is an apocalyptic number.

264349008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478802688).

264349008 is an abundant number, since it is smaller than the sum of its proper divisors (693256368).

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

264349008 is a wasteful number, since it uses less digits than its factorization.

264349008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 264349008 is about 16258.8132408242. The cubic root of 264349008 is about 641.7894322105.

The spelling of 264349008 in words is "two hundred sixty-four million, three hundred forty-nine thousand, eight".