520442496 has 320 divisors, whose sum is σ = 1812792960. Its totient is φ = 145152000.

The previous prime is 520442491. The next prime is 520442501. The reversal of 520442496 is 694244025.

520442496 is a `hidden beast` number, since 520 + 4 + 42 + 4 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (520442491) and next prime (520442501).

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

It is a self number, because there is not a number n which added to its sum of digits gives 520442496.

It is not an unprimeable number, because it can be changed into a prime (520442491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5152846 + ... + 5152946.

It is an arithmetic number, because the mean of its divisors is an integer number (5664978).

Almost surely, 2^520442496 is an apocalyptic number.

520442496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906396480).

520442496 is an abundant number, since it is smaller than the sum of its proper divisors (1292350464).

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

520442496 is a wasteful number, since it uses less digits than its factorization.

520442496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 520442496 is about 22813.2088054267. The cubic root of 520442496 is about 804.3731838517.

The spelling of 520442496 in words is "five hundred twenty million, four hundred forty-two thousand, four hundred ninety-six".