526475040 has 384 divisors, whose sum is σ = 2164216320. Its totient is φ = 104398848.

The previous prime is 526475021. The next prime is 526475041. The reversal of 526475040 is 40574625.

It is a junction number, because it is equal to n+sod(n) for n = 526474992 and 526475010.

It is not an unprimeable number, because it can be changed into a prime (526475041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 742206 + ... + 742914.

It is an arithmetic number, because the mean of its divisors is an integer number (5635980).

Almost surely, 2^526475040 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 526475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082108160).

526475040 is an abundant number, since it is smaller than the sum of its proper divisors (1637741280).

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

526475040 is a wasteful number, since it uses less digits than its factorization.

526475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 526475040 is about 22945.0439093064. The cubic root of 526475040 is about 807.4691314038.

The spelling of 526475040 in words is "five hundred twenty-six million, four hundred seventy-five thousand, forty".