409500648 has 96 divisors (see below), whose sum is σ = 1197331200. Its totient is φ = 126048384.

The previous prime is 409500601. The next prime is 409500649. The reversal of 409500648 is 846005904.

409500648 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 0 + 0 + 648 = 666.

It is a super-4 number, since 4×409500648⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (409500649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43761 + ... + 52287.

It is an arithmetic number, because the mean of its divisors is an integer number (12472200).

Almost surely, 2^409500648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409500648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598665600).

409500648 is an abundant number, since it is smaller than the sum of its proper divisors (787830552).

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

409500648 is a wasteful number, since it uses less digits than its factorization.

409500648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8591 (or 8584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 409500648 is about 20236.1223558270. The cubic root of 409500648 is about 742.5941628020.

The spelling of 409500648 in words is "four hundred nine million, five hundred thousand, six hundred forty-eight".