449957088 has 288 divisors, whose sum is σ = 1632234240. Its totient is φ = 114462720.

The previous prime is 449957087. The next prime is 449957089. The reversal of 449957088 is 880759944.

449957088 is a `hidden beast` number, since 4 + 499 + 5 + 70 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (449957087) and next prime (449957089).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×449957088² = 404922762082879488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449957087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650823 + ... + 651513.

It is an arithmetic number, because the mean of its divisors is an integer number (5667480).

Almost surely, 2^449957088 is an apocalyptic number.

449957088 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 449957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816117120).

449957088 is an abundant number, since it is smaller than the sum of its proper divisors (1182277152).

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

449957088 is a wasteful number, since it uses less digits than its factorization.

449957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 449957088 is about 21212.1919659426. The cubic root of 449957088 is about 766.2850731967.

The spelling of 449957088 in words is "four hundred forty-nine million, nine hundred fifty-seven thousand, eighty-eight".