448501248 has 120 divisors (see below), whose sum is σ = 1394160768. Its totient is φ = 137981952.

The previous prime is 448501217. The next prime is 448501267. The reversal of 448501248 is 842105844.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56161 + ... + 63647.

Almost surely, 2^448501248 is an apocalyptic number.

448501248 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 448501248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697080384).

448501248 is an abundant number, since it is smaller than the sum of its proper divisors (945659520).

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

448501248 is a wasteful number, since it uses less digits than its factorization.

448501248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 448501248 is about 21177.8480493179. The cubic root of 448501248 is about 765.4577396402.

The spelling of 448501248 in words is "four hundred forty-eight million, five hundred one thousand, two hundred forty-eight".