409488090 has 64 divisors (see below), whose sum is σ = 1118748672. Its totient is φ = 94952000.

The previous prime is 409488077. The next prime is 409488109. The reversal of 409488090 is 90884904.

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 31 ways as a sum of consecutive naturals, for example, 19386 + ... + 34565.

It is an arithmetic number, because the mean of its divisors is an integer number (17480448).

Almost surely, 2^409488090 is an apocalyptic number.

409488090 is an abundant number, since it is smaller than the sum of its proper divisors (709260582).

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

409488090 is a wasteful number, since it uses less digits than its factorization.

409488090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53995.

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 409488090 is about 20235.8120667296. The cubic root of 409488090 is about 742.5865717738.

The spelling of 409488090 in words is "four hundred nine million, four hundred eighty-eight thousand, ninety".