264779280 has 200 divisors, whose sum is σ = 952003800. Its totient is φ = 68124672.

The previous prime is 264779279. The next prime is 264779287. The reversal of 264779280 is 82977462.

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 264777984 = 36^2 + 16272^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (264779287) 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, 187216 + ... + 188624.

It is an arithmetic number, because the mean of its divisors is an integer number (4760019).

Almost surely, 2^264779280 is an apocalyptic number.

264779280 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 264779280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476001900).

264779280 is an abundant number, since it is smaller than the sum of its proper divisors (687224520).

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

264779280 is a wasteful number, since it uses less digits than its factorization.

264779280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 264779280 is about 16272.0398229601. The cubic root of 264779280 is about 642.1374498262.

The spelling of 264779280 in words is "two hundred sixty-four million, seven hundred seventy-nine thousand, two hundred eighty".