449589096 has 256 divisors, whose sum is σ = 1499904000. Its totient is φ = 123171840.

The previous prime is 449589071. The next prime is 449589103. The reversal of 449589096 is 690985944.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1038096 + ... + 1038528.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^449589096 is an apocalyptic number.

449589096 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 449589096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

449589096 is an abundant number, since it is smaller than the sum of its proper divisors (1050314904).

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

449589096 is a wasteful number, since it uses less digits than its factorization.

449589096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 449589096 is about 21203.5161235112. The cubic root of 449589096 is about 766.0761172079.

The spelling of 449589096 in words is "four hundred forty-nine million, five hundred eighty-nine thousand, ninety-six".