401000607 has 96 divisors (see below), whose sum is σ = 744726528. Its totient is φ = 202549248.

The previous prime is 401000557. The next prime is 401000627. The reversal of 401000607 is 706000104.

It is not a de Polignac number, because 401000607 - 2⁸ = 401000351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 401000607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401000627) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1798098 + ... + 1798320.

It is an arithmetic number, because the mean of its divisors is an integer number (7757568).

Almost surely, 2^401000607 is an apocalyptic number.

401000607 is a deficient number, since it is larger than the sum of its proper divisors (343725921).

401000607 is a wasteful number, since it uses less digits than its factorization.

401000607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 401000607 is about 20024.9995505618. Note that the first 3 decimals coincide. The cubic root of 401000607 is about 737.4201660974.

Adding to 401000607 its sum of digits (18), we get a square (401000625 = 20025²).

The spelling of 401000607 in words is "four hundred one million, six hundred seven", and thus it is an aban number.