415461101 has 16 divisors (see below), whose sum is σ = 468758016. Its totient is φ = 364800000.

The previous prime is 415461091. The next prime is 415461103. The reversal of 415461101 is 101164514.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 415461101 - 2¹⁰ = 415460077 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 (415461103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258701 + ... + 260301.

It is an arithmetic number, because the mean of its divisors is an integer number (29297376).

Almost surely, 2^415461101 is an apocalyptic number.

It is an amenable number.

415461101 is a deficient number, since it is larger than the sum of its proper divisors (53296915).

415461101 is a wasteful number, since it uses less digits than its factorization.

415461101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404.

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 415461101 is about 20382.8629245256. The cubic root of 415461101 is about 746.1797448701.

The spelling of 415461101 in words is "four hundred fifteen million, four hundred sixty-one thousand, one hundred one".