409895640 has 640 divisors, whose sum is σ = 1806520320. Its totient is φ = 80870400.

The previous prime is 409895593. The next prime is 409895711. The reversal of 409895640 is 46598904.

It is a happy number.

409895640 is a `hidden beast` number, since 4 + 0 + 9 + 89 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 7733854 + ... + 7733906.

It is an arithmetic number, because the mean of its divisors is an integer number (2822688).

Almost surely, 2^409895640 is an apocalyptic number.

409895640 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 409895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903260160).

409895640 is an abundant number, since it is smaller than the sum of its proper divisors (1396624680).

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

409895640 is a wasteful number, since it uses less digits than its factorization.

409895640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 409895640 is about 20245.8795807937. The cubic root of 409895640 is about 742.8328474021.

The spelling of 409895640 in words is "four hundred nine million, eight hundred ninety-five thousand, six hundred forty".