800405001 has 24 divisors (see below), whose sum is σ = 1327628640. Its totient is φ = 459561600.

The previous prime is 800404961. The next prime is 800405009. The reversal of 800405001 is 100504008.

It is not a de Polignac number, because 800405001 - 2⁶ = 800404937 is a prime.

It is a super-3 number, since 3×800405001³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (800405009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210880 + ... + 214641.

It is an arithmetic number, because the mean of its divisors is an integer number (55317860).

Almost surely, 2^800405001 is an apocalyptic number.

It is an amenable number.

800405001 is a deficient number, since it is larger than the sum of its proper divisors (527223639).

800405001 is a wasteful number, since it uses less digits than its factorization.

800405001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425557 (or 425554 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 800405001 is about 28291.4298154052. The cubic root of 800405001 is about 928.4743943045.

Adding to 800405001 its reverse (100504008), we get a palindrome (900909009).

The spelling of 800405001 in words is "eight hundred million, four hundred five thousand, one".