449005797720 has 512 divisors, whose sum is σ = 1563722496000. Its totient is φ = 114508800000.

The previous prime is 449005797719. The next prime is 449005797727. The reversal of 449005797720 is 27797500944.

449005797720 is a `hidden beast` number, since 4 + 49 + 0 + 0 + 579 + 7 + 7 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449005797727) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 789113596 + ... + 789114164.

It is an arithmetic number, because the mean of its divisors is an integer number (3054145500).

Almost surely, 2^449005797720 is an apocalyptic number.

449005797720 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 449005797720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781861248000).

449005797720 is an abundant number, since it is smaller than the sum of its proper divisors (1114716698280).

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

449005797720 is a wasteful number, since it uses less digits than its factorization.

449005797720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 449005797720 in words is "four hundred forty-nine billion, five million, seven hundred ninety-seven thousand, seven hundred twenty".