520106400 has 432 divisors, whose sum is σ = 2077992000. Its totient is φ = 125452800.

The previous prime is 520106369. The next prime is 520106401. The reversal of 520106400 is 4601025.

It is a happy number.

520106400 is a `hidden beast` number, since 5 + 20 + 1 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (520106401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2613501 + ... + 2613699.

Almost surely, 2^520106400 is an apocalyptic number.

520106400 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 520106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038996000).

520106400 is an abundant number, since it is smaller than the sum of its proper divisors (1557885600).

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

520106400 is a wasteful number, since it uses less digits than its factorization.

520106400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 520106400 is about 22805.8413569857. The cubic root of 520106400 is about 804.1999948006.

Adding to 520106400 its reverse (4601025), we get a palindrome (524707425).

The spelling of 520106400 in words is "five hundred twenty million, one hundred six thousand, four hundred".