448980792 has 256 divisors, whose sum is σ = 1378944000. Its totient is φ = 120434688.

The previous prime is 448980787. The next prime is 448980821. The reversal of 448980792 is 297089844.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5044684 + ... + 5044772.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2^448980792 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 448980792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

448980792 is an abundant number, since it is smaller than the sum of its proper divisors (929963208).

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

448980792 is a wasteful number, since it uses less digits than its factorization.

448980792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 448980792 is about 21189.1668547869. The cubic root of 448980792 is about 765.7304552829.

The spelling of 448980792 in words is "four hundred forty-eight million, nine hundred eighty thousand, seven hundred ninety-two".