264421248 has 384 divisors, whose sum is σ = 937681920. Its totient is φ = 65286144.

The previous prime is 264421237. The next prime is 264421279. The reversal of 264421248 is 842124462.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5625961 + ... + 5626007.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^264421248 is an apocalyptic number.

264421248 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 264421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468840960).

264421248 is an abundant number, since it is smaller than the sum of its proper divisors (673260672).

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

264421248 is a wasteful number, since it uses less digits than its factorization.

264421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 264421248 is about 16261.0346534284. The cubic root of 264421248 is about 641.8478885751.

The spelling of 264421248 in words is "two hundred sixty-four million, four hundred twenty-one thousand, two hundred forty-eight".