900900401 has 8 divisors (see below), whose sum is σ = 911464680. Its totient is φ = 890362368.

The previous prime is 900900391. The next prime is 900900419. The reversal of 900900401 is 104009009.

900900401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 375390625 + 525509776 = 19375^2 + 22924^2 .

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 900900401 - 2⁶ = 900900337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900900461) 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, 67295 + ... + 79563.

It is an arithmetic number, because the mean of its divisors is an integer number (113933085).

Almost surely, 2^900900401 is an apocalyptic number.

It is an amenable number.

900900401 is a deficient number, since it is larger than the sum of its proper divisors (10564279).

900900401 is a wasteful number, since it uses less digits than its factorization.

900900401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13123.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 900900401 is about 30015.0029318673. The cubic root of 900900401 is about 965.8112504810.

The spelling of 900900401 in words is "nine hundred million, nine hundred thousand, four hundred one".