449537380992 has 384 divisors, whose sum is σ = 1501393944960. Its totient is φ = 126451777536.

The previous prime is 449537380987. The next prime is 449537380993. The reversal of 449537380992 is 299083735944.

449537380992 is a `hidden beast` number, since 4 + 4 + 9 + 537 + 3 + 8 + 0 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×449537380992³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (449537380993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225557148 + ... + 225559140.

It is an arithmetic number, because the mean of its divisors is an integer number (3909880065).

Almost surely, 2^449537380992 is an apocalyptic number.

449537380992 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 449537380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750696972480).

449537380992 is an abundant number, since it is smaller than the sum of its proper divisors (1051856563968).

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

449537380992 is a wasteful number, since it uses less digits than its factorization.

449537380992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 449537380992 in words is "four hundred forty-nine billion, five hundred thirty-seven million, three hundred eighty thousand, nine hundred ninety-two".