415641 has 4 divisors (see below), whose sum is σ = 554192. Its totient is φ = 277092.

The previous prime is 415631. The next prime is 415643. The reversal of 415641 is 146514.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 415641 - 2⁵ = 415609 is a prime.

It is a D-number.

It is a Duffinian number.

415641 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (415643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69271 + ... + 69276.

It is an arithmetic number, because the mean of its divisors is an integer number (138548).

2⁴¹⁵⁶⁴¹ is an apocalyptic number.

It is an amenable number.

415641 is a deficient number, since it is larger than the sum of its proper divisors (138551).

415641 is a wasteful number, since it uses less digits than its factorization.

415641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138550.

The product of its digits is 480, while the sum is 21.

The square root of 415641 is about 644.7022568597. The cubic root of 415641 is about 74.6287430539.

The spelling of 415641 in words is "four hundred fifteen thousand, six hundred forty-one".