448187040 has 192 divisors, whose sum is σ = 1792869120. Its totient is φ = 102435840.

The previous prime is 448187023. The next prime is 448187071. The reversal of 448187040 is 40781844.

It is a happy number.

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 = 448186986 and 448187004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22830 + ... + 37650.

It is an arithmetic number, because the mean of its divisors is an integer number (9337860).

Almost surely, 2^448187040 is an apocalyptic number.

448187040 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 448187040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896434560).

448187040 is an abundant number, since it is smaller than the sum of its proper divisors (1344682080).

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

448187040 is a wasteful number, since it uses less digits than its factorization.

448187040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14852 (or 14838 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 448187040 is about 21170.4284321315. The cubic root of 448187040 is about 765.2789447955.

The spelling of 448187040 in words is "four hundred forty-eight million, one hundred eighty-seven thousand, forty".