448662240 has 240 divisors, whose sum is σ = 1705844448. Its totient is φ = 110398464.

The previous prime is 448662211. The next prime is 448662241. The reversal of 448662240 is 42266844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 448662195 and 448662204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448662241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167149 + ... + 169811.

Almost surely, 2^448662240 is an apocalyptic number.

448662240 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 448662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852922224).

448662240 is an abundant number, since it is smaller than the sum of its proper divisors (1257182208).

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

448662240 is a wasteful number, since it uses less digits than its factorization.

448662240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 448662240 is about 21181.6486610462. The cubic root of 448662240 is about 765.5493171114.

The spelling of 448662240 in words is "four hundred forty-eight million, six hundred sixty-two thousand, two hundred forty".