409024980 has 144 divisors (see below), whose sum is σ = 1527087744. Its totient is φ = 86296320.

The previous prime is 409024933. The next prime is 409024999. The reversal of 409024980 is 89420904.

It is a happy number.

409024980 is a `hidden beast` number, since 409 + 0 + 249 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3895 + ... + 28865.

It is an arithmetic number, because the mean of its divisors is an integer number (10604776).

Almost surely, 2^409024980 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 409024980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763543872).

409024980 is an abundant number, since it is smaller than the sum of its proper divisors (1118062764).

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

409024980 is a wasteful number, since it uses less digits than its factorization.

409024980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25006 (or 25001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 409024980 is about 20224.3659974794. The cubic root of 409024980 is about 742.3065237486.

The spelling of 409024980 in words is "four hundred nine million, twenty-four thousand, nine hundred eighty".