401005059 has 48 divisors (see below), whose sum is σ = 668708352. Its totient is φ = 209274624.

The previous prime is 401005037. The next prime is 401005139. The reversal of 401005059 is 950500104.

It is not a de Polignac number, because 401005059 - 2²⁴ = 384227843 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401005019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364999 + ... + 366095.

It is an arithmetic number, because the mean of its divisors is an integer number (13931424).

Almost surely, 2^401005059 is an apocalyptic number.

401005059 is a deficient number, since it is larger than the sum of its proper divisors (267703293).

401005059 is a wasteful number, since it uses less digits than its factorization.

401005059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 401005059 is about 20025.1107113044. The cubic root of 401005059 is about 737.4228950895.

The spelling of 401005059 in words is "four hundred one million, five thousand, fifty-nine".