449636016 has 80 divisors (see below), whose sum is σ = 1221707520. Its totient is φ = 142222080.

The previous prime is 449636003. The next prime is 449636021. The reversal of 449636016 is 610636944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143070 + ... + 146178.

It is an arithmetic number, because the mean of its divisors is an integer number (15271344).

Almost surely, 2^449636016 is an apocalyptic number.

449636016 is a gapful number since it is divisible by the number (46) 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 449636016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610853760).

449636016 is an abundant number, since it is smaller than the sum of its proper divisors (772071504).

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

449636016 is a wasteful number, since it uses less digits than its factorization.

449636016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 449636016 is about 21204.6225149141. The cubic root of 449636016 is about 766.1027660164.

It can be divided in two parts, 44963601 and 6, that multiplied together give a triangular number (269781606 = T₂₃₂₂₈).

The spelling of 449636016 in words is "four hundred forty-nine million, six hundred thirty-six thousand, sixteen".