461577 has 8 divisors (see below), whose sum is σ = 627264. Its totient is φ = 301808.

The previous prime is 461569. The next prime is 461581. The reversal of 461577 is 775164.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 461577 - 2³ = 461569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1293 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (78408).

2⁴⁶¹⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

461577 is a deficient number, since it is larger than the sum of its proper divisors (165687).

461577 is a wasteful number, since it uses less digits than its factorization.

461577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959.

The product of its digits is 5880, while the sum is 30.

The square root of 461577 is about 679.3945834344. The cubic root of 461577 is about 77.2825398884.

It can be divided in two parts, 46157 and 7, that added together give a palindrome (46164).

The spelling of 461577 in words is "four hundred sixty-one thousand, five hundred seventy-seven".