523738656 has 288 divisors, whose sum is σ = 1809864000. Its totient is φ = 146893824.

The previous prime is 523738651. The next prime is 523738673. The reversal of 523738656 is 656837325.

523738656 is a `hidden beast` number, since 523 + 73 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (907200) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (523738651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3767835 + ... + 3767973.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2^523738656 is an apocalyptic number.

523738656 is a gapful number since it is divisible by the number (56) 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 523738656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904932000).

523738656 is an abundant number, since it is smaller than the sum of its proper divisors (1286125344).

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

523738656 is a wasteful number, since it uses less digits than its factorization.

523738656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 240 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 523738656 is about 22885.3371397495. The cubic root of 523738656 is about 806.0677450667.

The spelling of 523738656 in words is "five hundred twenty-three million, seven hundred thirty-eight thousand, six hundred fifty-six".