448670653200 has 960 divisors, whose sum is σ = 2001202391040. Its totient is φ = 92752128000.

The previous prime is 448670653181. The next prime is 448670653259. The reversal of 448670653200 is 2356076844.

448670653200 is a `hidden beast` number, since 4 + 48 + 6 + 70 + 6 + 532 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175466322 + ... + 175468878.

It is an arithmetic number, because the mean of its divisors is an integer number (2084585824).

Almost surely, 2^448670653200 is an apocalyptic number.

448670653200 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 448670653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000601195520).

448670653200 is an abundant number, since it is smaller than the sum of its proper divisors (1552531737840).

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

448670653200 is a wasteful number, since it uses less digits than its factorization.

448670653200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

It can be divided in two parts, 448670 and 653200, that added together give a triangular number (1101870 = T₁₄₈₄).

The spelling of 448670653200 in words is "four hundred forty-eight billion, six hundred seventy million, six hundred fifty-three thousand, two hundred".