409854120 has 256 divisors, whose sum is σ = 1387411200. Its totient is φ = 96215040.

The previous prime is 409854119. The next prime is 409854121. The reversal of 409854120 is 21458904.

It is an interprime number because it is at equal distance from previous prime (409854119) and next prime (409854121).

It is not an unprimeable number, because it can be changed into a prime (409854121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5614404 + ... + 5614476.

It is an arithmetic number, because the mean of its divisors is an integer number (5419575).

Almost surely, 2^409854120 is an apocalyptic number.

409854120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409854120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693705600).

409854120 is an abundant number, since it is smaller than the sum of its proper divisors (977557080).

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

409854120 is a wasteful number, since it uses less digits than its factorization.

409854120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 409854120 is about 20244.8541609961. The cubic root of 409854120 is about 742.8077650329.

The spelling of 409854120 in words is "four hundred nine million, eight hundred fifty-four thousand, one hundred twenty".