523950840 has 384 divisors, whose sum is σ = 2120601600. Its totient is φ = 109486080.

The previous prime is 523950827. The next prime is 523950841. The reversal of 523950840 is 48059325.

523950840 is a `hidden beast` number, since 523 + 9 + 50 + 84 + 0 = 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 = 523950795 and 523950804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (523950841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484104 + ... + 1484456.

It is an arithmetic number, because the mean of its divisors is an integer number (5522400).

Almost surely, 2^523950840 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 523950840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060300800).

523950840 is an abundant number, since it is smaller than the sum of its proper divisors (1596650760).

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

523950840 is a wasteful number, since it uses less digits than its factorization.

523950840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 523950840 is about 22889.9724770477. The cubic root of 523950840 is about 806.1765853470.

The spelling of 523950840 in words is "five hundred twenty-three million, nine hundred fifty thousand, eight hundred forty".