526379040 has 576 divisors, whose sum is σ = 2171836800. Its totient is φ = 118609920.

The previous prime is 526379027. The next prime is 526379047. The reversal of 526379040 is 40973625.

526379040 is a `hidden beast` number, since 526 + 3 + 7 + 90 + 40 = 666.

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 = 526378986 and 526379004.

It is not an unprimeable number, because it can be changed into a prime (526379047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9931654 + ... + 9931706.

It is an arithmetic number, because the mean of its divisors is an integer number (3770550).

Almost surely, 2^526379040 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 526379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085918400).

526379040 is an abundant number, since it is smaller than the sum of its proper divisors (1645457760).

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

526379040 is a wasteful number, since it uses less digits than its factorization.

526379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 526379040 is about 22942.9518589043. The cubic root of 526379040 is about 807.4200491474.

The spelling of 526379040 in words is "five hundred twenty-six million, three hundred seventy-nine thousand, forty".