409197920 has 48 divisors (see below), whose sum is σ = 973189728. Its totient is φ = 162585600.

The previous prime is 409197913. The next prime is 409197931. The reversal of 409197920 is 29791904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15692 + ... + 32628.

It is an arithmetic number, because the mean of its divisors is an integer number (20274786).

Almost surely, 2^409197920 is an apocalyptic number.

409197920 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 409197920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486594864).

409197920 is an abundant number, since it is smaller than the sum of its proper divisors (563991808).

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

409197920 is a wasteful number, since it uses less digits than its factorization.

409197920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17103 (or 17095 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 41.

The square root of 409197920 is about 20228.6410813974. The cubic root of 409197920 is about 742.4111273042.

The spelling of 409197920 in words is "four hundred nine million, one hundred ninety-seven thousand, nine hundred twenty".