264497748 has 48 divisors (see below), whose sum is σ = 641424000. Its totient is φ = 84728448.

The previous prime is 264497729. The next prime is 264497759. The reversal of 264497748 is 847794462.

It is a happy number.

Its product of digits (2709504) is a multiple of the sum of its prime factors (3584).

It is a self number, because there is not a number n which added to its sum of digits gives 264497748.

It is a congruent number.

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, 78033 + ... + 81351.

It is an arithmetic number, because the mean of its divisors is an integer number (13363000).

Almost surely, 2^264497748 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 264497748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320712000).

264497748 is an abundant number, since it is smaller than the sum of its proper divisors (376926252).

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

264497748 is a wasteful number, since it uses less digits than its factorization.

264497748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3582 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 264497748 is about 16263.3867321662. The cubic root of 264497748 is about 641.9097805113.

The spelling of 264497748 in words is "two hundred sixty-four million, four hundred ninety-seven thousand, seven hundred forty-eight".