1008008401 has 8 divisors (see below), whose sum is σ = 1020101600. Its totient is φ = 995984640.

The previous prime is 1008008363. The next prime is 1008008429. The reversal of 1008008401 is 1048008001.

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 1008008401 - 2¹¹ = 1008006353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008008461) 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, 12145 + ... + 46513.

It is an arithmetic number, because the mean of its divisors is an integer number (127512700).

Almost surely, 2^1008008401 is an apocalyptic number.

It is an amenable number.

1008008401 is a deficient number, since it is larger than the sum of its proper divisors (12093199).

1008008401 is a wasteful number, since it uses less digits than its factorization.

1008008401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34719.

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1008008401 is about 31749.1480358135. The cubic root of 1008008401 is about 1002.6623724823.

The spelling of 1008008401 in words is "one billion, eight million, eight thousand, four hundred one".