264466944 has 200 divisors, whose sum is σ = 903120768. Its totient is φ = 75479040.

The previous prime is 264466919. The next prime is 264466963. The reversal of 264466944 is 449664462.

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

It is a self number, because there is not a number n which added to its sum of digits gives 264466944.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 289849 + ... + 290759.

Almost surely, 2^264466944 is an apocalyptic number.

264466944 is a gapful number since it is divisible by the number (24) 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 264466944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451560384).

264466944 is an abundant number, since it is smaller than the sum of its proper divisors (638653824).

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

264466944 is an frugal number, since it uses more digits than its factorization.

264466944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 923 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 264466944 is about 16262.4396693731. The cubic root of 264466944 is about 641.8848601270.

The spelling of 264466944 in words is "two hundred sixty-four million, four hundred sixty-six thousand, nine hundred forty-four".