264241152 has 138 divisors (see below), whose sum is σ = 872415128. Its totient is φ = 75497472.

The previous prime is 264241147. The next prime is 264241223. The reversal of 264241152 is 251142462.

264241152 is a `hidden beast` number, since 2 + 642 + 4 + 1 + 15 + 2 = 666.

Its product of digits (3840) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748733 + ... + 37748739.

Almost surely, 2^264241152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436207564).

264241152 is an abundant number, since it is smaller than the sum of its proper divisors (608173976).

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

264241152 is an frugal number, since it uses more digits than its factorization.

264241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 12 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 264241152 is about 16255.4960551808. The cubic root of 264241152 is about 641.7021356755.

The spelling of 264241152 in words is "two hundred sixty-four million, two hundred forty-one thousand, one hundred fifty-two".