520414200 has 192 divisors, whose sum is σ = 1898316000. Its totient is φ = 130590720.

The previous prime is 520414163. The next prime is 520414207. The reversal of 520414200 is 2414025.

520414200 is a `hidden beast` number, since 52 + 0 + 414 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520414207) 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, 88966 + ... + 94634.

Almost surely, 2^520414200 is an apocalyptic number.

520414200 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 520414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949158000).

520414200 is an abundant number, since it is smaller than the sum of its proper divisors (1377901800).

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

520414200 is a wasteful number, since it uses less digits than its factorization.

520414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 520414200 is about 22812.5886299648. The cubic root of 520414200 is about 804.3586059004.

Adding to 520414200 its reverse (2414025), we get a palindrome (522828225).

The spelling of 520414200 in words is "five hundred twenty million, four hundred fourteen thousand, two hundred".