411273126 has 96 divisors (see below), whose sum is σ = 1061424000. Its totient is φ = 118039680.

The previous prime is 411273119. The next prime is 411273139. The reversal of 411273126 is 621372114.

It is a super-3 number, since 3×411273126³ (a number of 27 digits) contains 333 as substring.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 411273126.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99550 + ... + 103598.

It is an arithmetic number, because the mean of its divisors is an integer number (11056500).

Almost surely, 2^411273126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411273126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

411273126 is an abundant number, since it is smaller than the sum of its proper divisors (650150874).

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

411273126 is a wasteful number, since it uses less digits than its factorization.

411273126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 411273126 is about 20279.8699699973. The cubic root of 411273126 is about 743.6640327538.

It can be divided in two parts, 41127 and 3126, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 411273126 in words is "four hundred eleven million, two hundred seventy-three thousand, one hundred twenty-six".