575400 has 96 divisors (see below), whose sum is σ = 2053440. Its totient is φ = 130560.

The previous prime is 575371. The next prime is 575401. The reversal of 575400 is 4575.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (575401) 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, 4132 + ... + 4268.

It is an arithmetic number, because the mean of its divisors is an integer number (21390).

2⁵⁷⁵⁴⁰⁰ is an apocalyptic number.

575400 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 575400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026720).

575400 is an abundant number, since it is smaller than the sum of its proper divisors (1478040).

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

575400 is a wasteful number, since it uses less digits than its factorization.

575400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 575400 is about 758.5512507405. The cubic root of 575400 is about 83.1744528319.

Adding to 575400 its reverse (4575), we get a palindrome (579975).

The spelling of 575400 in words is "five hundred seventy-five thousand, four hundred".