264461008 has 80 divisors (see below), whose sum is σ = 606925440. Its totient is φ = 109283328.

The previous prime is 264461003. The next prime is 264461011. The reversal of 264461008 is 800164462.

264461008 = 322² + 323² + ... + 938².

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264461003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428316 + ... + 428932.

It is an arithmetic number, because the mean of its divisors is an integer number (7586568).

Almost surely, 2^264461008 is an apocalyptic number.

264461008 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 264461008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303462720).

264461008 is an abundant number, since it is smaller than the sum of its proper divisors (342464432).

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

264461008 is a wasteful number, since it uses less digits than its factorization.

264461008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 264461008 is about 16262.2571619071. The cubic root of 264461008 is about 641.8800576906.

The spelling of 264461008 in words is "two hundred sixty-four million, four hundred sixty-one thousand, eight".