409948140 has 96 divisors (see below), whose sum is σ = 1316851200. Its totient is φ = 93344256.

The previous prime is 409948129. The next prime is 409948157. The reversal of 409948140 is 41849904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117136 + ... + 120584.

It is an arithmetic number, because the mean of its divisors is an integer number (13717200).

Almost surely, 2^409948140 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 409948140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658425600).

409948140 is an abundant number, since it is smaller than the sum of its proper divisors (906903060).

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

409948140 is a wasteful number, since it uses less digits than its factorization.

409948140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3751 (or 3749 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 409948140 is about 20247.1760993972. The cubic root of 409948140 is about 742.8645604007.

The spelling of 409948140 in words is "four hundred nine million, nine hundred forty-eight thousand, one hundred forty".