264463248 has 80 divisors (see below), whose sum is σ = 788628096. Its totient is φ = 74803200.

The previous prime is 264463211. The next prime is 264463259. The reversal of 264463248 is 842364462.

264463248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30040 + ... + 37832.

Almost surely, 2^264463248 is an apocalyptic number.

264463248 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 264463248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394314048).

264463248 is an abundant number, since it is smaller than the sum of its proper divisors (524164848).

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

264463248 is a wasteful number, since it uses less digits than its factorization.

264463248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7906 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 264463248 is about 16262.3260328896. The cubic root of 264463248 is about 641.8818699392.

The spelling of 264463248 in words is "two hundred sixty-four million, four hundred sixty-three thousand, two hundred forty-eight".