409139680 has 96 divisors (see below), whose sum is σ = 1028764800. Its totient is φ = 153231360.

The previous prime is 409139671. The next prime is 409139683. The reversal of 409139680 is 86931904.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409139683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 949065 + ... + 949495.

It is an arithmetic number, because the mean of its divisors is an integer number (10716300).

Almost surely, 2^409139680 is an apocalyptic number.

409139680 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 409139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514382400).

409139680 is an abundant number, since it is smaller than the sum of its proper divisors (619625120).

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

409139680 is a wasteful number, since it uses less digits than its factorization.

409139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 409139680 is about 20227.2014871064. The cubic root of 409139680 is about 742.3759038639.

The spelling of 409139680 in words is "four hundred nine million, one hundred thirty-nine thousand, six hundred eighty".