526425840 has 240 divisors, whose sum is σ = 1871880192. Its totient is φ = 132312576.

The previous prime is 526425829. The next prime is 526425841. The reversal of 526425840 is 48524625.

It is a happy number.

526425840 is a `hidden beast` number, since 5 + 2 + 642 + 5 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 526425795 and 526425804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526425841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374289 + ... + 1374671.

Almost surely, 2^526425840 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 526425840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935940096).

526425840 is an abundant number, since it is smaller than the sum of its proper divisors (1345454352).

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

526425840 is a wasteful number, since it uses less digits than its factorization.

526425840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 526425840 is about 22943.9717573048. The cubic root of 526425840 is about 807.4439774928.

The spelling of 526425840 in words is "five hundred twenty-six million, four hundred twenty-five thousand, eight hundred forty".