415900901 has 16 divisors (see below), whose sum is σ = 453270384. Its totient is φ = 379329024.

The previous prime is 415900897. The next prime is 415900913. The reversal of 415900901 is 109009514.

It can be written as a sum of positive squares in 8 ways, for example, as 5635876 + 410265025 = 2374^2 + 20255^2 .

It is a cyclic number.

It is not a de Polignac number, because 415900901 - 2² = 415900897 is a prime.

It is a super-2 number, since 2×415900901² = 345947118905223602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415900981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521435 + ... + 522231.

It is an arithmetic number, because the mean of its divisors is an integer number (28329399).

Almost surely, 2^415900901 is an apocalyptic number.

It is an amenable number.

415900901 is a deficient number, since it is larger than the sum of its proper divisors (37369483).

415900901 is a wasteful number, since it uses less digits than its factorization.

415900901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 415900901 is about 20393.6485455644. The cubic root of 415900901 is about 746.4429497131.

The spelling of 415900901 in words is "four hundred fifteen million, nine hundred thousand, nine hundred one".