415901 has 2 divisors, whose sum is σ = 415902. Its totient is φ = 415900.

The previous prime is 415879. The next prime is 415931. The reversal of 415901 is 109514.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 391876 + 24025 = 626^2 + 155^2 .

It is a cyclic number.

It is not a de Polignac number, because 415901 - 2¹⁸ = 153757 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (415931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207950 + 207951.

It is an arithmetic number, because the mean of its divisors is an integer number (207951).

2⁴¹⁵⁹⁰¹ is an apocalyptic number.

It is an amenable number.

415901 is a deficient number, since it is larger than the sum of its proper divisors (1).

415901 is an equidigital number, since it uses as much as digits as its factorization.

415901 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 415901 is about 644.9038688053. The cubic root of 415901 is about 74.6443008940.

The spelling of 415901 in words is "four hundred fifteen thousand, nine hundred one".