264609408 has 192 divisors, whose sum is σ = 840006720. Its totient is φ = 73758720.

The previous prime is 264609407. The next prime is 264609421. The reversal of 264609408 is 804906462.

264609408 is digitally balanced in base 2, 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 (192).

It is a super-2 number, since 2×264609408² = 140036277604220928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264609407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6453868 + ... + 6453908.

It is an arithmetic number, because the mean of its divisors is an integer number (4375035).

Almost surely, 2^264609408 is an apocalyptic number.

264609408 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 264609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420003360).

264609408 is an abundant number, since it is smaller than the sum of its proper divisors (575397312).

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

264609408 is an frugal number, since it uses more digits than its factorization.

264609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 264609408 is about 16266.8192342572. The cubic root of 264609408 is about 642.0000970487. Note that the first 4 decimals are identical.

The spelling of 264609408 in words is "two hundred sixty-four million, six hundred nine thousand, four hundred eight".