409659120 has 240 divisors, whose sum is σ = 1537422432. Its totient is φ = 100776960.

The previous prime is 409659113. The next prime is 409659143. The reversal of 409659120 is 21956904.

409659120 is a `hidden beast` number, since 40 + 9 + 6 + 591 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251910 + ... + 253530.

Almost surely, 2^409659120 is an apocalyptic number.

409659120 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 409659120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768711216).

409659120 is an abundant number, since it is smaller than the sum of its proper divisors (1127763312).

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

409659120 is a wasteful number, since it uses less digits than its factorization.

409659120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 409659120 is about 20240.0375493723. The cubic root of 409659120 is about 742.6899422232.

The spelling of 409659120 in words is "four hundred nine million, six hundred fifty-nine thousand, one hundred twenty".