449534891520 has 960 divisors, whose sum is σ = 1868604401664. Its totient is φ = 98420981760.

The previous prime is 449534891459. The next prime is 449534891537. The reversal of 449534891520 is 25198435944.

It is a happy number.

449534891520 is a `hidden beast` number, since 4 + 4 + 9 + 5 + 3 + 489 + 152 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154850389 + ... + 154853291.

Almost surely, 2^449534891520 is an apocalyptic number.

449534891520 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 449534891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934302200832).

449534891520 is an abundant number, since it is smaller than the sum of its proper divisors (1419069510144).

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

449534891520 is a wasteful number, since it uses less digits than its factorization.

449534891520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 449534891520 in words is "four hundred forty-nine billion, five hundred thirty-four million, eight hundred ninety-one thousand, five hundred twenty".