449513972500320 has 768 divisors, whose sum is σ = 1953504073543680. Its totient is φ = 94003184959488.

The previous prime is 449513972500289. The next prime is 449513972500331. The reversal of 449513972500320 is 23005279315944.

It is a happy number.

449513972500320 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 1 + 39 + 72 + 500 + 32 + 0 = 666.

It is a super-2 number, since 2×449513972500320² (a number of 30 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 127 ways as a sum of consecutive naturals, for example, 39363037 + ... + 49482083.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625095760).

Almost surely, 2^{449513972500320} is an apocalyptic number.

449513972500320 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 449513972500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976752036771840).

449513972500320 is an abundant number, since it is smaller than the sum of its proper divisors (1503990101043360).

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

449513972500320 is a wasteful number, since it uses less digits than its factorization.

449513972500320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119204 (or 10119190 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 449513972500320 in words is "four hundred forty-nine trillion, five hundred thirteen billion, nine hundred seventy-two million, five hundred thousand, three hundred twenty".