523494400 has 297 divisors, whose sum is σ = 1544479923. Its totient is φ = 175718400.

The previous prime is 523494373. The next prime is 523494449. The reversal of 523494400 is 4494325.

It is a happy number.

The square root of 523494400 is 22880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 134931456 + 388562944 = 11616^2 + 19712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40268794 + ... + 40268806.

Almost surely, 2^523494400 is an apocalyptic number.

523494400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

523494400 is the 22880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523494400

523494400 is an abundant number, since it is smaller than the sum of its proper divisors (1020985523).

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

523494400 is a wasteful number, since it uses less digits than its factorization.

523494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 523494400 is about 805.9424169753.

The spelling of 523494400 in words is "five hundred twenty-three million, four hundred ninety-four thousand, four hundred".