413577 has 6 divisors (see below), whose sum is σ = 597402. Its totient is φ = 275712.

The previous prime is 413557. The next prime is 413579. The reversal of 413577 is 775314.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 95481 = 564^2 + 309^2 .

It is not a de Polignac number, because 413577 - 2¹¹ = 411529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413577.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 413577.

It is not an unprimeable number, because it can be changed into a prime (413579) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22968 + ... + 22985.

It is an arithmetic number, because the mean of its divisors is an integer number (99567).

2⁴¹³⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

413577 is a deficient number, since it is larger than the sum of its proper divisors (183825).

413577 is a wasteful number, since it uses less digits than its factorization.

413577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45959 (or 45956 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 413577 is about 643.0995257345. The cubic root of 413577 is about 74.5050069454.

It can be divided in two parts, 413 and 577, that added together give a triangular number (990 = T₄₄).

The spelling of 413577 in words is "four hundred thirteen thousand, five hundred seventy-seven".