521052400 has 120 divisors (see below), whose sum is σ = 1383840000. Its totient is φ = 186950400.

The previous prime is 521052391. The next prime is 521052407. The reversal of 521052400 is 4250125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (521052407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346851 + ... + 348349.

It is an arithmetic number, because the mean of its divisors is an integer number (11532000).

Almost surely, 2^521052400 is an apocalyptic number.

521052400 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 521052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691920000).

521052400 is an abundant number, since it is smaller than the sum of its proper divisors (862787600).

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

521052400 is a wasteful number, since it uses less digits than its factorization.

521052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 521052400 is about 22826.5722350072. The cubic root of 521052400 is about 804.6872748483.

The spelling of 521052400 in words is "five hundred twenty-one million, fifty-two thousand, four hundred".