448137760 has 48 divisors (see below), whose sum is σ = 1209974976. Its totient is φ = 153646848.

The previous prime is 448137757. The next prime is 448137763. The reversal of 448137760 is 67731844.

It is an interprime number because it is at equal distance from previous prime (448137757) and next prime (448137763).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (448137763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198942 + ... + 201181.

It is an arithmetic number, because the mean of its divisors is an integer number (25207812).

Almost surely, 2^448137760 is an apocalyptic number.

448137760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448137760 is an abundant number, since it is smaller than the sum of its proper divisors (761837216).

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

448137760 is a wasteful number, since it uses less digits than its factorization.

448137760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400145 (or 400137 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 448137760 is about 21169.2645124955. The cubic root of 448137760 is about 765.2508952497.

The spelling of 448137760 in words is "four hundred forty-eight million, one hundred thirty-seven thousand, seven hundred sixty".