520894400 has 168 divisors, whose sum is σ = 1402201920. Its totient is φ = 189296640.

The previous prime is 520894397. The next prime is 520894427. The reversal of 520894400 is 4498025.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1643042 + ... + 1643358.

It is an arithmetic number, because the mean of its divisors is an integer number (8346440).

Almost surely, 2^520894400 is an apocalyptic number.

520894400 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 520894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701100960).

520894400 is an abundant number, since it is smaller than the sum of its proper divisors (881307520).

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

520894400 is a wasteful number, since it uses less digits than its factorization.

520894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 520894400 is about 22823.1110938014. Note that the first 3 decimals coincide. The cubic root of 520894400 is about 804.6059308590.

The spelling of 520894400 in words is "five hundred twenty million, eight hundred ninety-four thousand, four hundred".