401605251 has 16 divisors (see below), whose sum is σ = 548824320. Its totient is φ = 261082080.

The previous prime is 401605199. The next prime is 401605307. The reversal of 401605251 is 152506104.

It is not a de Polignac number, because 401605251 - 2⁹ = 401604739 is a prime.

It is a super-2 number, since 2×401605251² = 322573555261546002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401605951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89266 + ... + 93656.

It is an arithmetic number, because the mean of its divisors is an integer number (34301520).

Almost surely, 2^401605251 is an apocalyptic number.

401605251 is a deficient number, since it is larger than the sum of its proper divisors (147219069).

401605251 is a wasteful number, since it uses less digits than its factorization.

401605251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 401605251 is about 20040.0910926073. The cubic root of 401605251 is about 737.7906167113.

It can be divided in two parts, 401605 and 251, that added together give a triangular number (401856 = T₈₉₆).

The spelling of 401605251 in words is "four hundred one million, six hundred five thousand, two hundred fifty-one".