575240600 has 96 divisors (see below), whose sum is σ = 1465017840. Its totient is φ = 208320000.

The previous prime is 575240579. The next prime is 575240609. The reversal of 575240600 is 6042575.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575240609) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 820250 + ... + 820950.

Almost surely, 2^575240600 is an apocalyptic number.

575240600 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 575240600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732508920).

575240600 is an abundant number, since it is smaller than the sum of its proper divisors (889777240).

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

575240600 is a wasteful number, since it uses less digits than its factorization.

575240600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 575240600 is about 23984.1739486687. The cubic root of 575240600 is about 831.6677166388.

The spelling of 575240600 in words is "five hundred seventy-five million, two hundred forty thousand, six hundred".