449331950400 has 336 divisors, whose sum is σ = 1578463614720. Its totient is φ = 111504588800.

The previous prime is 449331950359. The next prime is 449331950401. The reversal of 449331950400 is 4059133944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449331950401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7231465 + ... + 7293335.

Almost surely, 2^449331950400 is an apocalyptic number.

449331950400 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 449331950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789231807360).

449331950400 is an abundant number, since it is smaller than the sum of its proper divisors (1129131664320).

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

449331950400 is a wasteful number, since it uses less digits than its factorization.

449331950400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62002 (or 61987 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 449331950400 in words is "four hundred forty-nine billion, three hundred thirty-one million, nine hundred fifty thousand, four hundred".