448336980 has 288 divisors, whose sum is σ = 1696601088. Its totient is φ = 93312000.

The previous prime is 448336961. The next prime is 448336981. The reversal of 448336980 is 89633844.

It is a super-3 number, since 3×448336980³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448336981) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1654245 + ... + 1654515.

It is an arithmetic number, because the mean of its divisors is an integer number (5890976).

Almost surely, 2^448336980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448336980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848300544).

448336980 is an abundant number, since it is smaller than the sum of its proper divisors (1248264108).

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

448336980 is a wasteful number, since it uses less digits than its factorization.

448336980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 448336980 is about 21173.9693964075. The cubic root of 448336980 is about 765.3642760829.

The spelling of 448336980 in words is "four hundred forty-eight million, three hundred thirty-six thousand, nine hundred eighty".