520420032 has 336 divisors, whose sum is σ = 1783689600. Its totient is φ = 148262400.

The previous prime is 520420027. The next prime is 520420037. The reversal of 520420032 is 230024025.

It is an interprime number because it is at equal distance from previous prime (520420027) and next prime (520420037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520419987 and 520420014.

It is not an unprimeable number, because it can be changed into a prime (520420037) 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, 3972607 + ... + 3972737.

It is an arithmetic number, because the mean of its divisors is an integer number (5308600).

Almost surely, 2^520420032 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 520420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891844800).

520420032 is an abundant number, since it is smaller than the sum of its proper divisors (1263269568).

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

520420032 is a wasteful number, since it uses less digits than its factorization.

520420032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 520420032 is about 22812.7164537676. The cubic root of 520420032 is about 804.3616105595.

Adding to 520420032 its reverse (230024025), we get a palindrome (750444057).

The spelling of 520420032 in words is "five hundred twenty million, four hundred twenty thousand, thirty-two".