264741048 has 160 divisors (see below), whose sum is σ = 871461360. Its totient is φ = 74027520.

The previous prime is 264741047. The next prime is 264741049. The reversal of 264741048 is 840147462.

264741048 is a `hidden beast` number, since 2 + 647 + 4 + 1 + 0 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (264741047) and next prime (264741049).

It is a super-2 number, since 2×264741048² = 140175644992276608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264741047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91236 + ... + 94092.

Almost surely, 2^264741048 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 264741048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435730680).

264741048 is an abundant number, since it is smaller than the sum of its proper divisors (606720312).

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

264741048 is a wasteful number, since it uses less digits than its factorization.

264741048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 264741048 is about 16270.8650046640. The cubic root of 264741048 is about 642.1065418429.

The spelling of 264741048 in words is "two hundred sixty-four million, seven hundred forty-one thousand, forty-eight".