264779040 has 96 divisors (see below), whose sum is σ = 847820736. Its totient is φ = 69442560.

The previous prime is 264779023. The next prime is 264779083. The reversal of 264779040 is 40977462.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 264779040.

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, 24759 + ... + 33801.

It is an arithmetic number, because the mean of its divisors is an integer number (8831466).

Almost surely, 2^264779040 is an apocalyptic number.

264779040 is a gapful number since it is divisible by the number (20) 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 264779040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423910368).

264779040 is an abundant number, since it is smaller than the sum of its proper divisors (583041696).

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

264779040 is a wasteful number, since it uses less digits than its factorization.

264779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9122 (or 9114 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 264779040 is about 16272.0324483452. The cubic root of 264779040 is about 642.1372558118.

The spelling of 264779040 in words is "two hundred sixty-four million, seven hundred seventy-nine thousand, forty".