526448560 has 80 divisors (see below), whose sum is σ = 1347985152. Its totient is φ = 189612800.

The previous prime is 526448539. The next prime is 526448567. The reversal of 526448560 is 65844625.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (526448567) 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, 91365 + ... + 96955.

Almost surely, 2^526448560 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 526448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673992576).

526448560 is an abundant number, since it is smaller than the sum of its proper divisors (821536592).

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

526448560 is a wasteful number, since it uses less digits than its factorization.

526448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 526448560 is about 22944.4668711217. The cubic root of 526448560 is about 807.4555934773.

It can be divided in two parts, 5264 and 48560, that added together give a square (53824 = 232²).

The spelling of 526448560 in words is "five hundred twenty-six million, four hundred forty-eight thousand, five hundred sixty".