409065120 has 288 divisors, whose sum is σ = 1505044800. Its totient is φ = 103758336.

The previous prime is 409065089. The next prime is 409065121. The reversal of 409065120 is 21560904.

409065120 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×409065120² = 334668544801228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (409065121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2285191 + ... + 2285369.

It is an arithmetic number, because the mean of its divisors is an integer number (5225850).

Almost surely, 2^409065120 is an apocalyptic number.

409065120 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 409065120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752522400).

409065120 is an abundant number, since it is smaller than the sum of its proper divisors (1095979680).

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

409065120 is a wasteful number, since it uses less digits than its factorization.

409065120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 409065120 is about 20225.3583404596. The cubic root of 409065120 is about 742.3308052397.

The spelling of 409065120 in words is "four hundred nine million, sixty-five thousand, one hundred twenty".