409250520 has 384 divisors, whose sum is σ = 1655821440. Its totient is φ = 85524480.

The previous prime is 409250509. The next prime is 409250533. The reversal of 409250520 is 25052904.

409250520 is a `hidden beast` number, since 4 + 0 + 92 + 50 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1756324 + ... + 1756556.

It is an arithmetic number, because the mean of its divisors is an integer number (4312035).

Almost surely, 2^409250520 is an apocalyptic number.

409250520 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 409250520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

409250520 is an abundant number, since it is smaller than the sum of its proper divisors (1246570920).

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

409250520 is a wasteful number, since it uses less digits than its factorization.

409250520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 409250520 is about 20229.9411763851. The cubic root of 409250520 is about 742.4429368111.

The spelling of 409250520 in words is "four hundred nine million, two hundred fifty thousand, five hundred twenty".