409425120 has 144 divisors (see below), whose sum is σ = 1504706112. Its totient is φ = 100776960.

The previous prime is 409425119. The next prime is 409425143. The reversal of 409425120 is 21524904.

409425120 is a `hidden beast` number, since 409 + 4 + 251 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 7785 + ... + 29655.

It is an arithmetic number, because the mean of its divisors is an integer number (10449348).

Almost surely, 2^409425120 is an apocalyptic number.

409425120 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 409425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752353056).

409425120 is an abundant number, since it is smaller than the sum of its proper divisors (1095280992).

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

409425120 is a wasteful number, since it uses less digits than its factorization.

409425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21905 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 409425120 is about 20234.2561019673. The cubic root of 409425120 is about 742.5485054868.

The spelling of 409425120 in words is "four hundred nine million, four hundred twenty-five thousand, one hundred twenty".