526964256 has 144 divisors (see below), whose sum is σ = 1844466624. Its totient is φ = 138972672.

The previous prime is 526964233. The next prime is 526964287. The reversal of 526964256 is 652469625.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16155 + ... + 36261.

It is an arithmetic number, because the mean of its divisors is an integer number (12808796).

Almost surely, 2^526964256 is an apocalyptic number.

526964256 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 526964256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922233312).

526964256 is an abundant number, since it is smaller than the sum of its proper divisors (1317502368).

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

526964256 is a wasteful number, since it uses less digits than its factorization.

526964256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20143 (or 20132 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 526964256 is about 22955.7020367490. The cubic root of 526964256 is about 807.7191619496.

The spelling of 526964256 in words is "five hundred twenty-six million, nine hundred sixty-four thousand, two hundred fifty-six".