448816140 has 192 divisors, whose sum is σ = 1463562240. Its totient is φ = 115473600.

The previous prime is 448816139. The next prime is 448816153. The reversal of 448816140 is 41618844.

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 = 448816095 and 448816104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1355775 + ... + 1356105.

It is an arithmetic number, because the mean of its divisors is an integer number (7622720).

Almost surely, 2^448816140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448816140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731781120).

448816140 is an abundant number, since it is smaller than the sum of its proper divisors (1014746100).

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

448816140 is a wasteful number, since it uses less digits than its factorization.

448816140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 448816140 is about 21185.2812112561. The cubic root of 448816140 is about 765.6368399446.

The spelling of 448816140 in words is "four hundred forty-eight million, eight hundred sixteen thousand, one hundred forty".