448349304000 has 896 divisors, whose sum is σ = 1703509936128. Its totient is φ = 103038566400.

The previous prime is 448349303989. The next prime is 448349304017. The reversal of 448349304000 is 403943844.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 448349304000.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 308567274 + ... + 308568726.

It is an arithmetic number, because the mean of its divisors is an integer number (1901238768).

Almost surely, 2^448349304000 is an apocalyptic number.

448349304000 is a gapful number since it is divisible by the number (40) 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 448349304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851754968064).

448349304000 is an abundant number, since it is smaller than the sum of its proper divisors (1255160632128).

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

448349304000 is a wasteful number, since it uses less digits than its factorization.

448349304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 448349304000 in words is "four hundred forty-eight billion, three hundred forty-nine million, three hundred four thousand".