448431840 has 144 divisors (see below), whose sum is σ = 1547910000. Its totient is φ = 118204416.

The previous prime is 448431829. The next prime is 448431853. The reversal of 448431840 is 48134844.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×448431840² = 402182230251571200, which contains 22 as substring.

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 = 448431795 and 448431804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126411 + ... + 129909.

It is an arithmetic number, because the mean of its divisors is an integer number (10749375).

Almost surely, 2^448431840 is an apocalyptic number.

448431840 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 448431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773955000).

448431840 is an abundant number, since it is smaller than the sum of its proper divisors (1099478160).

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

448431840 is a wasteful number, since it uses less digits than its factorization.

448431840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3609 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 448431840 is about 21176.2092925056. The cubic root of 448431840 is about 765.4182513579.

The spelling of 448431840 in words is "four hundred forty-eight million, four hundred thirty-one thousand, eight hundred forty".