448646117400 has 864 divisors, whose sum is σ = 1706299227360. Its totient is φ = 104993280000.

The previous prime is 448646117347. The next prime is 448646117441. The reversal of 448646117400 is 4711646844.

448646117400 is a `hidden beast` number, since 44 + 86 + 461 + 1 + 74 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1596605260 + ... + 1596605540.

It is an arithmetic number, because the mean of its divisors is an integer number (1974883365).

Almost surely, 2^448646117400 is an apocalyptic number.

448646117400 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 448646117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853149613680).

448646117400 is an abundant number, since it is smaller than the sum of its proper divisors (1257653109960).

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

448646117400 is a wasteful number, since it uses less digits than its factorization.

448646117400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 448646117400 in words is "four hundred forty-eight billion, six hundred forty-six million, one hundred seventeen thousand, four hundred".