449609616 has 225 divisors, whose sum is σ = 1419127083. Its totient is φ = 137401920.

The previous prime is 449609599. The next prime is 449609617. The reversal of 449609616 is 616906944.

The square root of 449609616 is 21204.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (449609617) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14503521 + ... + 14503551.

Almost surely, 2^449609616 is an apocalyptic number.

449609616 is the 21204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449609616

449609616 is an abundant number, since it is smaller than the sum of its proper divisors (969517467).

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

449609616 is a wasteful number, since it uses less digits than its factorization.

449609616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 449609616 is about 766.0877720300.

The spelling of 449609616 in words is "four hundred forty-nine million, six hundred nine thousand, six hundred sixteen".