448812000 has 576 divisors, whose sum is σ = 1974720384. Its totient is φ = 94003200.

The previous prime is 448811971. The next prime is 448812011. The reversal of 448812000 is 218844.

It is a super-2 number, since 2×448812000² = 402864422688000000, which contains 22 as substring.

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, 3275932 + ... + 3276068.

It is an arithmetic number, because the mean of its divisors is an integer number (3428334).

Almost surely, 2^448812000 is an apocalyptic number.

448812000 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 448812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987360192).

448812000 is an abundant number, since it is smaller than the sum of its proper divisors (1525908384).

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

448812000 is a wasteful number, since it uses less digits than its factorization.

448812000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 448812000 is about 21185.1835016834. The cubic root of 448812000 is about 765.6344857911.

The spelling of 448812000 in words is "four hundred forty-eight million, eight hundred twelve thousand".