800414901 has 24 divisors (see below), whose sum is σ = 1358282016. Its totient is φ = 447783840.

The previous prime is 800414873. The next prime is 800414903. The reversal of 800414901 is 109414008.

It is not a de Polignac number, because 800414901 - 2⁵ = 800414869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800414903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309675 + ... + 312248.

It is an arithmetic number, because the mean of its divisors is an integer number (56595084).

Almost surely, 2^800414901 is an apocalyptic number.

It is an amenable number.

800414901 is a deficient number, since it is larger than the sum of its proper divisors (557867115).

800414901 is a wasteful number, since it uses less digits than its factorization.

800414901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621953 (or 621950 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 800414901 is about 28291.6047795101. The cubic root of 800414901 is about 928.4782223076.

Adding to 800414901 its reverse (109414008), we get a palindrome (909828909).

The spelling of 800414901 in words is "eight hundred million, four hundred fourteen thousand, nine hundred one".