409996720 has 120 divisors (see below), whose sum is σ = 1136364768. Its totient is φ = 137088000.

The previous prime is 409996681. The next prime is 409996747. The reversal of 409996720 is 27699904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159445 + ... + 161995.

Almost surely, 2^409996720 is an apocalyptic number.

409996720 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 409996720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568182384).

409996720 is an abundant number, since it is smaller than the sum of its proper divisors (726368048).

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

409996720 is a wasteful number, since it uses less digits than its factorization.

409996720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The square root of 409996720 is about 20248.3757373277. The cubic root of 409996720 is about 742.8939030837.

The spelling of 409996720 in words is "four hundred nine million, nine hundred ninety-six thousand, seven hundred twenty".