409612896 has 384 divisors, whose sum is σ = 1532805120. Its totient is φ = 103334400.

The previous prime is 409612891. The next prime is 409612927. The reversal of 409612896 is 698216904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409612891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3126751 + ... + 3126881.

It is an arithmetic number, because the mean of its divisors is an integer number (3991680).

Almost surely, 2^409612896 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 409612896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766402560).

409612896 is an abundant number, since it is smaller than the sum of its proper divisors (1123192224).

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

409612896 is a wasteful number, since it uses less digits than its factorization.

409612896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 409612896 is about 20238.8956220442. The cubic root of 409612896 is about 742.6620072975.

The spelling of 409612896 in words is "four hundred nine million, six hundred twelve thousand, eight hundred ninety-six".