264355056 has 320 divisors, whose sum is σ = 942796800. Its totient is φ = 69237504.

The previous prime is 264355033. The next prime is 264355079. The reversal of 264355056 is 650553462.

It is a happy number.

264355056 is a `hidden beast` number, since 2 + 643 + 5 + 5 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (264355033) and next prime (264355079).

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

It is a self number, because there is not a number n which added to its sum of digits gives 264355056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2470555 + ... + 2470661.

It is an arithmetic number, because the mean of its divisors is an integer number (2946240).

Almost surely, 2^264355056 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 264355056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471398400).

264355056 is an abundant number, since it is smaller than the sum of its proper divisors (678441744).

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

264355056 is a wasteful number, since it uses less digits than its factorization.

264355056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 264355056 is about 16258.9992311950. Note that the first 3 decimals coincide. The cubic root of 264355056 is about 641.7943266402.

The spelling of 264355056 in words is "two hundred sixty-four million, three hundred fifty-five thousand, fifty-six".