409830804720 has 240 divisors, whose sum is σ = 1443418329600. Its totient is φ = 104010407424.

The previous prime is 409830804683. The next prime is 409830804739. The reversal of 409830804720 is 27408038904.

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

It is a super-2 number, since 2×409830804720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3233259 + ... + 3357621.

It is an arithmetic number, because the mean of its divisors is an integer number (6014243040).

Almost surely, 2^409830804720 is an apocalyptic number.

409830804720 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 409830804720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721709164800).

409830804720 is an abundant number, since it is smaller than the sum of its proper divisors (1033587524880).

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

409830804720 is a wasteful number, since it uses less digits than its factorization.

409830804720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124604 (or 124595 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 409830804720 in words is "four hundred nine billion, eight hundred thirty million, eight hundred four thousand, seven hundred twenty".