449458848 has 96 divisors (see below), whose sum is σ = 1314573120. Its totient is φ = 149402880.

The previous prime is 449458837. The next prime is 449458871. The reversal of 449458848 is 848854944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 449458794 and 449458803.

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, 570711 + ... + 571497.

It is an arithmetic number, because the mean of its divisors is an integer number (13693470).

Almost surely, 2^449458848 is an apocalyptic number.

449458848 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 449458848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657286560).

449458848 is an abundant number, since it is smaller than the sum of its proper divisors (865114272).

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

449458848 is a wasteful number, since it uses less digits than its factorization.

449458848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1453 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 449458848 is about 21200.4445236415. Note that the first 3 decimals coincide. The cubic root of 449458848 is about 766.0021314877.

The spelling of 449458848 in words is "four hundred forty-nine million, four hundred fifty-eight thousand, eight hundred forty-eight".