448690329600 has 1152 divisors, whose sum is σ = 1698731274240. Its totient is φ = 103809024000.

The previous prime is 448690329589. The next prime is 448690329653. The reversal of 448690329600 is 6923096844.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1861785480 + ... + 1861785720.

It is an arithmetic number, because the mean of its divisors is an integer number (1474593120).

Almost surely, 2^448690329600 is an apocalyptic number.

448690329600 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 448690329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849365637120).

448690329600 is an abundant number, since it is smaller than the sum of its proper divisors (1250040944640).

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

448690329600 is a wasteful number, since it uses less digits than its factorization.

448690329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 448690329600 in words is "four hundred forty-eight billion, six hundred ninety million, three hundred twenty-nine thousand, six hundred".