575994400 has 72 divisors (see below), whose sum is σ = 1436158080. Its totient is φ = 225480960.

The previous prime is 575994373. The next prime is 575994409. The reversal of 575994400 is 4499575.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (575994409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29941 + ... + 45259.

It is an arithmetic number, because the mean of its divisors is an integer number (19946640).

Almost surely, 2^575994400 is an apocalyptic number.

575994400 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 575994400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718079040).

575994400 is an abundant number, since it is smaller than the sum of its proper divisors (860163680).

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

575994400 is a wasteful number, since it uses less digits than its factorization.

575994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15386 (or 15373 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 575994400 is about 23999.8833330498. The cubic root of 575994400 is about 832.0308328071.

The spelling of 575994400 in words is "five hundred seventy-five million, nine hundred ninety-four thousand, four hundred".