523050400 has 72 divisors (see below), whose sum is σ = 1280753964. Its totient is φ = 208588800.

The previous prime is 523050349. The next prime is 523050421. The reversal of 523050400 is 4050325.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1567504 + 521482896 = 1252^2 + 22836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336024 + ... + 337576.

Almost surely, 2^523050400 is an apocalyptic number.

523050400 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 523050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640376982).

523050400 is an abundant number, since it is smaller than the sum of its proper divisors (757703564).

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

523050400 is a wasteful number, since it uses less digits than its factorization.

523050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 523050400 is about 22870.2951445756. The cubic root of 523050400 is about 805.7145000850.

The spelling of 523050400 in words is "five hundred twenty-three million, fifty thousand, four hundred".