448277760 has 576 divisors, whose sum is σ = 1942617600. Its totient is φ = 95551488.

The previous prime is 448277759. The next prime is 448277761. The reversal of 448277760 is 67772844.

It is an interprime number because it is at equal distance from previous prime (448277759) and next prime (448277761).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×448277760² = 401905900221235200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448277761) 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 63 ways as a sum of consecutive naturals, for example, 4112586 + ... + 4112694.

It is an arithmetic number, because the mean of its divisors is an integer number (3372600).

Almost surely, 2^448277760 is an apocalyptic number.

448277760 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 448277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971308800).

448277760 is an abundant number, since it is smaller than the sum of its proper divisors (1494339840).

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

448277760 is a wasteful number, since it uses less digits than its factorization.

448277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 448277760 is about 21172.5709350565. The cubic root of 448277760 is about 765.3305760833.

The spelling of 448277760 in words is "four hundred forty-eight million, two hundred seventy-seven thousand, seven hundred sixty".