526438368 has 144 divisors (see below), whose sum is σ = 1553610240. Its totient is φ = 168956928.

The previous prime is 526438349. The next prime is 526438387. The reversal of 526438368 is 863834625.

It is a happy number.

526438368 is a `hidden beast` number, since 5 + 264 + 383 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (526438349) and next prime (526438387).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 1353118 + ... + 1353506.

It is an arithmetic number, because the mean of its divisors is an integer number (10788960).

Almost surely, 2^526438368 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 526438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

526438368 is an abundant number, since it is smaller than the sum of its proper divisors (1027171872).

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

526438368 is a wasteful number, since it uses less digits than its factorization.

526438368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 558 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 526438368 is about 22944.2447685689. The cubic root of 526438368 is about 807.4503826862.

The spelling of 526438368 in words is "five hundred twenty-six million, four hundred thirty-eight thousand, three hundred sixty-eight".