409471920 has 480 divisors, whose sum is σ = 1672017984. Its totient is φ = 88473600.

The previous prime is 409471897. The next prime is 409471939. The reversal of 409471920 is 29174904.

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

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 95 ways as a sum of consecutive naturals, for example, 4221312 + ... + 4221408.

Almost surely, 2^409471920 is an apocalyptic number.

409471920 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 409471920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836008992).

409471920 is an abundant number, since it is smaller than the sum of its proper divisors (1262546064).

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

409471920 is a wasteful number, since it uses less digits than its factorization.

409471920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

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

The square root of 409471920 is about 20235.4125235934. The cubic root of 409471920 is about 742.5767971445.

The spelling of 409471920 in words is "four hundred nine million, four hundred seventy-one thousand, nine hundred twenty".