449594885376 has 1296 divisors, whose sum is σ = 1786263373440. Its totient is φ = 107296358400.

The previous prime is 449594885347. The next prime is 449594885407. The reversal of 449594885376 is 673588495944.

449594885376 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 9 + 4 + 88 + 537 + 6 = 666.

It is a super-2 number, since 2×449594885376² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1045094400) is a multiple of the sum of its prime divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 641361826 + ... + 641362526.

It is an arithmetic number, because the mean of its divisors is an integer number (1378289640).

Almost surely, 2^449594885376 is an apocalyptic number.

449594885376 is a gapful number since it is divisible by the number (46) 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 449594885376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893131686720).

449594885376 is an abundant number, since it is smaller than the sum of its proper divisors (1336668488064).

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

449594885376 is a wasteful number, since it uses less digits than its factorization.

449594885376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 768 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 449594885376 in words is "four hundred forty-nine billion, five hundred ninety-four million, eight hundred eighty-five thousand, three hundred seventy-six".