448400480 has 48 divisors (see below), whose sum is σ = 1155654864. Its totient is φ = 163054080.

The previous prime is 448400473. The next prime is 448400489. The reversal of 448400480 is 84004844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448400489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125627 + ... + 129146.

It is an arithmetic number, because the mean of its divisors is an integer number (24076143).

Almost surely, 2^448400480 is an apocalyptic number.

448400480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448400480 is an abundant number, since it is smaller than the sum of its proper divisors (707254384).

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

448400480 is a wasteful number, since it uses less digits than its factorization.

448400480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254799 (or 254791 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 448400480 is about 21175.4688259788. The cubic root of 448400480 is about 765.4004083818.

It can be divided in two parts, 4 and 48400480, that added together give a palindrome (48400484).

The spelling of 448400480 in words is "four hundred forty-eight million, four hundred thousand, four hundred eighty".