409458816 has 192 divisors, whose sum is σ = 1336608000. Its totient is φ = 119273472.

The previous prime is 409458809. The next prime is 409458823. The reversal of 409458816 is 618854904.

It is an interprime number because it is at equal distance from previous prime (409458809) and next prime (409458823).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283825 + ... + 285263.

It is an arithmetic number, because the mean of its divisors is an integer number (6961500).

Almost surely, 2^409458816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409458816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

409458816 is an abundant number, since it is smaller than the sum of its proper divisors (927149184).

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

409458816 is a wasteful number, since it uses less digits than its factorization.

409458816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 409458816 is about 20235.0887321998. The cubic root of 409458816 is about 742.5688756976.

The spelling of 409458816 in words is "four hundred nine million, four hundred fifty-eight thousand, eight hundred sixteen".