448493760 has 560 divisors, whose sum is σ = 1889772192. Its totient is φ = 100362240.

The previous prime is 448493719. The next prime is 448493783. The reversal of 448493760 is 67394844.

It is a super-2 number, since 2×448493760² = 402293305517875200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 34499514 + ... + 34499526.

Almost surely, 2^448493760 is an apocalyptic number.

448493760 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 448493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944886096).

448493760 is an abundant number, since it is smaller than the sum of its proper divisors (1441278432).

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

448493760 is a wasteful number, since it uses less digits than its factorization.

448493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 448493760 is about 21177.6712600796. The cubic root of 448493760 is about 765.4534796897.

The spelling of 448493760 in words is "four hundred forty-eight million, four hundred ninety-three thousand, seven hundred sixty".