409317120 has 108 divisors (see below), whose sum is σ = 1416234456. Its totient is φ = 109148160.

The previous prime is 409317113. The next prime is 409317163. The reversal of 409317120 is 21713904.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6246 + ... + 29285.

It is an arithmetic number, because the mean of its divisors is an integer number (13113282).

Almost surely, 2^409317120 is an apocalyptic number.

409317120 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 409317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708117228).

409317120 is an abundant number, since it is smaller than the sum of its proper divisors (1006917336).

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

409317120 is a wasteful number, since it uses less digits than its factorization.

409317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35558 (or 35541 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 409317120 is about 20231.5871844005. The cubic root of 409317120 is about 742.4832088166.

The spelling of 409317120 in words is "four hundred nine million, three hundred seventeen thousand, one hundred twenty".