449425428480 has 1872 divisors, whose sum is σ = 1998575167680. Its totient is φ = 96315899904.

The previous prime is 449425428457. The next prime is 449425428607. The reversal of 449425428480 is 84824524944.

449425428480 is a `hidden beast` number, since 4 + 4 + 94 + 2 + 54 + 28 + 480 = 666.

It is a super-2 number, since 2×449425428480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4633251792 + ... + 4633251888.

It is an arithmetic number, because the mean of its divisors is an integer number (1067614940).

Almost surely, 2^449425428480 is an apocalyptic number.

449425428480 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 449425428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999287583840).

449425428480 is an abundant number, since it is smaller than the sum of its proper divisors (1549149739200).

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

449425428480 is an equidigital number, since it uses as much as digits as its factorization.

449425428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 449425428480 in words is "four hundred forty-nine billion, four hundred twenty-five million, four hundred twenty-eight thousand, four hundred eighty".