449886528 has 224 divisors, whose sum is σ = 1628363520. Its totient is φ = 118609920.

The previous prime is 449886527. The next prime is 449886551. The reversal of 449886528 is 825688944.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449886523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155818 + ... + 158678.

It is an arithmetic number, because the mean of its divisors is an integer number (7269480).

Almost surely, 2^449886528 is an apocalyptic number.

449886528 is a gapful number since it is divisible by the number (48) 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 449886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814181760).

449886528 is an abundant number, since it is smaller than the sum of its proper divisors (1178476992).

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

449886528 is a wasteful number, since it uses less digits than its factorization.

449886528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2902 (or 2886 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The square root of 449886528 is about 21210.5287062817. The cubic root of 449886528 is about 766.2450161167.

The spelling of 449886528 in words is "four hundred forty-nine million, eight hundred eighty-six thousand, five hundred twenty-eight".