409896450 has 60 divisors (see below), whose sum is σ = 1138916130. Its totient is φ = 109304640.

The previous prime is 409896439. The next prime is 409896451. The reversal of 409896450 is 54698904.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 244953801 + 164942649 = 15651^2 + 12843^2 .

It is a super-3 number, since 3×409896450³ (a number of 27 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 409896396 and 409896405.

It is not an unprimeable number, because it can be changed into a prime (409896451) 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 29 ways as a sum of consecutive naturals, for example, 46555 + ... + 54654.

Almost surely, 2^409896450 is an apocalyptic number.

409896450 is an abundant number, since it is smaller than the sum of its proper divisors (729019680).

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

409896450 is a wasteful number, since it uses less digits than its factorization.

409896450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101233 (or 101219 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 409896450 is about 20245.8995848542. The cubic root of 409896450 is about 742.8333367089.

The spelling of 409896450 in words is "four hundred nine million, eight hundred ninety-six thousand, four hundred fifty".