526361440 has 96 divisors (see below), whose sum is σ = 1415667456. Its totient is φ = 183068160.

The previous prime is 526361377. The next prime is 526361441. The reversal of 526361440 is 44163625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526361441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33979 + ... + 46981.

It is an arithmetic number, because the mean of its divisors is an integer number (14746536).

Almost surely, 2^526361440 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 526361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707833728).

526361440 is an abundant number, since it is smaller than the sum of its proper divisors (889306016).

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

526361440 is a wasteful number, since it uses less digits than its factorization.

526361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13052 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 526361440 is about 22942.5682956377. The cubic root of 526361440 is about 807.4110500864.

The spelling of 526361440 in words is "five hundred twenty-six million, three hundred sixty-one thousand, four hundred forty".