405131166 has 64 divisors (see below), whose sum is σ = 995696640. Its totient is φ = 121072320.

The previous prime is 405131147. The next prime is 405131191. The reversal of 405131166 is 661131504.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38691 + ... + 48033.

It is an arithmetic number, because the mean of its divisors is an integer number (15557760).

Almost surely, 2^405131166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405131166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497848320).

405131166 is an abundant number, since it is smaller than the sum of its proper divisors (590565474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405131166 is a wasteful number, since it uses less digits than its factorization.

405131166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9438 (or 9432 counting only the distinct ones).

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

The square root of 405131166 is about 20127.8703791534. The cubic root of 405131166 is about 739.9434860664.

It can be divided in two parts, 40 and 5131166, that added together give a triangular number (5131206 = T₃₂₀₃).

The spelling of 405131166 in words is "four hundred five million, one hundred thirty-one thousand, one hundred sixty-six".