409791420 has 96 divisors (see below), whose sum is σ = 1278224640. Its totient is φ = 108993600.

The previous prime is 409791401. The next prime is 409791439. The reversal of 409791420 is 24197904.

It is an interprime number because it is at equal distance from previous prime (409791401) and next prime (409791439).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281695 + ... + 283145.

It is an arithmetic number, because the mean of its divisors is an integer number (13314840).

Almost surely, 2^409791420 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 409791420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639112320).

409791420 is an abundant number, since it is smaller than the sum of its proper divisors (868433220).

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

409791420 is a wasteful number, since it uses less digits than its factorization.

409791420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 409791420 is about 20243.3055601105. The cubic root of 409791420 is about 742.7698845451.

The spelling of 409791420 in words is "four hundred nine million, seven hundred ninety-one thousand, four hundred twenty".