449073595152 has 960 divisors, whose sum is σ = 1655608320000. Its totient is φ = 116422645248.

The previous prime is 449073595133. The next prime is 449073595193. The reversal of 449073595152 is 251595370944.

449073595152 is a `hidden beast` number, since 4 + 4 + 9 + 0 + 73 + 59 + 515 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1978297663 + ... + 1978297889.

It is an arithmetic number, because the mean of its divisors is an integer number (1724592000).

Almost surely, 2^449073595152 is an apocalyptic number.

449073595152 is a gapful number since it is divisible by the number (42) 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 449073595152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827804160000).

449073595152 is an abundant number, since it is smaller than the sum of its proper divisors (1206534724848).

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

449073595152 is a wasteful number, since it uses less digits than its factorization.

449073595152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 449073595152 in words is "four hundred forty-nine billion, seventy-three million, five hundred ninety-five thousand, one hundred fifty-two".