409929120 has 192 divisors, whose sum is σ = 1481518080. Its totient is φ = 105753600.

The previous prime is 409929119. The next prime is 409929133. The reversal of 409929120 is 21929904.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132390 + ... + 135450.

It is an arithmetic number, because the mean of its divisors is an integer number (7716240).

Almost surely, 2^409929120 is an apocalyptic number.

409929120 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 409929120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740759040).

409929120 is an abundant number, since it is smaller than the sum of its proper divisors (1071588960).

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

409929120 is a wasteful number, since it uses less digits than its factorization.

409929120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 409929120 is about 20246.7063988195. The cubic root of 409929120 is about 742.8530715471.

The spelling of 409929120 in words is "four hundred nine million, nine hundred twenty-nine thousand, one hundred twenty".