520212672 has 224 divisors, whose sum is σ = 1809292800. Its totient is φ = 143410176.

The previous prime is 520212661. The next prime is 520212683. The reversal of 520212672 is 276212025.

It is an interprime number because it is at equal distance from previous prime (520212661) and next prime (520212683).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 350043 + ... + 351525.

It is an arithmetic number, because the mean of its divisors is an integer number (8077200).

Almost surely, 2^520212672 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 520212672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904646400).

520212672 is an abundant number, since it is smaller than the sum of its proper divisors (1289080128).

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

520212672 is a wasteful number, since it uses less digits than its factorization.

520212672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 520212672 is about 22808.1711673689. The cubic root of 520212672 is about 804.2547644411.

Adding to 520212672 its reverse (276212025), we get a palindrome (796424697).

The spelling of 520212672 in words is "five hundred twenty million, two hundred twelve thousand, six hundred seventy-two".