409981550 has 48 divisors (see below), whose sum is σ = 852226704. Its totient is φ = 145440000.

The previous prime is 409981519. The next prime is 409981573. The reversal of 409981550 is 55189904.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409981498 and 409981507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13460 + ... + 31640.

It is an arithmetic number, because the mean of its divisors is an integer number (17754723).

Almost surely, 2^409981550 is an apocalyptic number.

409981550 is an abundant number, since it is smaller than the sum of its proper divisors (442245154).

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

409981550 is a wasteful number, since it uses less digits than its factorization.

409981550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18245 (or 18240 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 41.

The square root of 409981550 is about 20248.0011359146. The cubic root of 409981550 is about 742.8847405392.

The spelling of 409981550 in words is "four hundred nine million, nine hundred eighty-one thousand, five hundred fifty".