448902000 has 400 divisors, whose sum is σ = 1727380512. Its totient is φ = 111974400.

The previous prime is 448901993. The next prime is 448902053. The reversal of 448902000 is 209844.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2753919 + ... + 2754081.

Almost surely, 2^448902000 is an apocalyptic number.

448902000 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 448902000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863690256).

448902000 is an abundant number, since it is smaller than the sum of its proper divisors (1278478512).

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

448902000 is a wasteful number, since it uses less digits than its factorization.

448902000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 448902000 is about 21187.3075212496. The cubic root of 448902000 is about 765.6856597781.

The spelling of 448902000 in words is "four hundred forty-eight million, nine hundred two thousand".