401166153 has 24 divisors (see below), whose sum is σ = 615581928. Its totient is φ = 250877952.

The previous prime is 401166137. The next prime is 401166163. The reversal of 401166153 is 351661104.

401166153 is a `hidden beast` number, since 40 + 1 + 1 + 6 + 615 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45369 + 401120784 = 213^2 + 20028^2 .

It is not a de Polignac number, because 401166153 - 2⁴ = 401166137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401166163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43701 + ... + 52077.

It is an arithmetic number, because the mean of its divisors is an integer number (25649247).

Almost surely, 2^401166153 is an apocalyptic number.

It is an amenable number.

401166153 is a deficient number, since it is larger than the sum of its proper divisors (214415775).

401166153 is a wasteful number, since it uses less digits than its factorization.

401166153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8713 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 401166153 is about 20029.1326072798. The cubic root of 401166153 is about 737.5216290889.

The spelling of 401166153 in words is "four hundred one million, one hundred sixty-six thousand, one hundred fifty-three".