415361 has 8 divisors (see below), whose sum is σ = 449064. Its totient is φ = 382720.

The previous prime is 415343. The next prime is 415379. The reversal of 415361 is 163514.

It is an interprime number because it is at equal distance from previous prime (415343) and next prime (415379).

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 297025 = 344^2 + 545^2 .

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 415361 - 2¹⁴ = 398977 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415381) 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, 671 + ... + 1131.

It is an arithmetic number, because the mean of its divisors is an integer number (56133).

2⁴¹⁵³⁶¹ is an apocalyptic number.

It is an amenable number.

415361 is a deficient number, since it is larger than the sum of its proper divisors (33703).

415361 is a wasteful number, since it uses less digits than its factorization.

415361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its digits is 360, while the sum is 20.

The square root of 415361 is about 644.4850657696. The cubic root of 415361 is about 74.6119811992.

Adding to 415361 its reverse (163514), we get a palindrome (578875).

The spelling of 415361 in words is "four hundred fifteen thousand, three hundred sixty-one".