449029433088 has 720 divisors, whose sum is σ = 1471775659200. Its totient is φ = 135587561472.

The previous prime is 449029433023. The next prime is 449029433089. The reversal of 449029433088 is 880334920944.

449029433088 is a `hidden beast` number, since 4 + 49 + 0 + 294 + 3 + 308 + 8 = 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 (449029433089) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2256429213 + ... + 2256429411.

It is an arithmetic number, because the mean of its divisors is an integer number (2044132860).

Almost surely, 2^449029433088 is an apocalyptic number.

449029433088 is a gapful number since it is divisible by the number (48) 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 449029433088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735887829600).

449029433088 is an abundant number, since it is smaller than the sum of its proper divisors (1022746226112).

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

449029433088 is a wasteful number, since it uses less digits than its factorization.

449029433088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 449029433088 in words is "four hundred forty-nine billion, twenty-nine million, four hundred thirty-three thousand, eighty-eight".