520014000 has 160 divisors (see below), whose sum is σ = 1829168640. Its totient is φ = 126048000.

The previous prime is 520013941. The next prime is 520014031. The reversal of 520014000 is 410025.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62061 + ... + 69939.

It is an arithmetic number, because the mean of its divisors is an integer number (11432304).

Almost surely, 2^520014000 is an apocalyptic number.

520014000 is a gapful number since it is divisible by the number (50) 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 520014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914584320).

520014000 is an abundant number, since it is smaller than the sum of its proper divisors (1309154640).

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

520014000 is a wasteful number, since it uses less digits than its factorization.

520014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7916 (or 7900 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 520014000 is about 22803.8154702234. The cubic root of 520014000 is about 804.1523683403.

Adding to 520014000 its reverse (410025), we get a palindrome (520424025).

The spelling of 520014000 in words is "five hundred twenty million, fourteen thousand".