409274100 has 144 divisors (see below), whose sum is σ = 1361371200. Its totient is φ = 105356160.

The previous prime is 409274083. The next prime is 409274149. The reversal of 409274100 is 1472904.

It is a happy number.

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 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, 75687 + ... + 80913.

Almost surely, 2^409274100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409274100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680685600).

409274100 is an abundant number, since it is smaller than the sum of its proper divisors (952097100).

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

409274100 is a wasteful number, since it uses less digits than its factorization.

409274100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5279 (or 5266 counting only the distinct ones).

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

The square root of 409274100 is about 20230.5239675101. The cubic root of 409274100 is about 742.4571957775.

The spelling of 409274100 in words is "four hundred nine million, two hundred seventy-four thousand, one hundred".