409495520 has 96 divisors (see below), whose sum is σ = 1114477056. Its totient is φ = 139276800.

The previous prime is 409495487. The next prime is 409495571. The reversal of 409495520 is 25594904.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 145325 + ... + 148115.

It is an arithmetic number, because the mean of its divisors is an integer number (11609136).

Almost surely, 2^409495520 is an apocalyptic number.

409495520 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 409495520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557238528).

409495520 is an abundant number, since it is smaller than the sum of its proper divisors (704981536).

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

409495520 is a wasteful number, since it uses less digits than its factorization.

409495520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 409495520 is about 20235.9956513140. The cubic root of 409495520 is about 742.5910630602.

The spelling of 409495520 in words is "four hundred nine million, four hundred ninety-five thousand, five hundred twenty".