448958970 has 64 divisors (see below), whose sum is σ = 1206743040. Its totient is φ = 118770624.

The previous prime is 448958941. The next prime is 448958989. The reversal of 448958970 is 79859844.

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 31 ways as a sum of consecutive naturals, for example, 27744 + ... + 40836.

It is an arithmetic number, because the mean of its divisors is an integer number (18855360).

Almost surely, 2^448958970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448958970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603371520).

448958970 is an abundant number, since it is smaller than the sum of its proper divisors (757784070).

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

448958970 is a wasteful number, since it uses less digits than its factorization.

448958970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13236 (or 13230 counting only the distinct ones).

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

The square root of 448958970 is about 21188.6519155892. The cubic root of 448958970 is about 765.7180493767.

The spelling of 448958970 in words is "four hundred forty-eight million, nine hundred fifty-eight thousand, nine hundred seventy".