448620480 has 756 divisors, whose sum is σ = 2080141128. Its totient is φ = 87736320.

The previous prime is 448620479. The next prime is 448620493. The reversal of 448620480 is 84026844.

448620480 is a `hidden beast` number, since 448 + 6 + 204 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 26389432 + ... + 26389448.

Almost surely, 2^448620480 is an apocalyptic number.

448620480 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 448620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040070564).

448620480 is an abundant number, since it is smaller than the sum of its proper divisors (1631520648).

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

448620480 is a wasteful number, since it uses less digits than its factorization.

448620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 45 counting only the distinct ones).

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

The square root of 448620480 is about 21180.6628791452. The cubic root of 448620480 is about 765.5255647735.

The spelling of 448620480 in words is "four hundred forty-eight million, six hundred twenty thousand, four hundred eighty".