575364960 has 144 divisors (see below), whose sum is σ = 2026926720. Its totient is φ = 148469760.

The previous prime is 575364943. The next prime is 575364967. The reversal of 575364960 is 69463575.

575364960 is a `hidden beast` number, since 57 + 536 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575364967) 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, 38196 + ... + 51084.

It is an arithmetic number, because the mean of its divisors is an integer number (14075880).

Almost surely, 2^575364960 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 575364960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013463360).

575364960 is an abundant number, since it is smaller than the sum of its proper divisors (1451561760).

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

575364960 is a wasteful number, since it uses less digits than its factorization.

575364960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 575364960 is about 23986.7663514697. The cubic root of 575364960 is about 831.7276444586.

The spelling of 575364960 in words is "five hundred seventy-five million, three hundred sixty-four thousand, nine hundred sixty".