575460 has 72 divisors (see below), whose sum is σ = 1834560. Its totient is φ = 145728.

The previous prime is 575441. The next prime is 575473. The reversal of 575460 is 64575.

575460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4071 + ... + 4209.

It is an arithmetic number, because the mean of its divisors is an integer number (25480).

2⁵⁷⁵⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 575460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917280).

575460 is an abundant number, since it is smaller than the sum of its proper divisors (1259100).

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

575460 is a wasteful number, since it uses less digits than its factorization.

575460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 575460 is about 758.5907987842. The cubic root of 575460 is about 83.1773437447.

It can be divided in two parts, 575 and 460, that added together give a triangular number (1035 = T₄₅).

The spelling of 575460 in words is "five hundred seventy-five thousand, four hundred sixty".