449470586880 has 1008 divisors, whose sum is σ = 1835538213600. Its totient is φ = 101435572224.

The previous prime is 449470586849. The next prime is 449470586899. The reversal of 449470586880 is 88685074944.

449470586880 is a `hidden beast` number, since 4 + 4 + 9 + 47 + 0 + 586 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2691440557 + ... + 2691440723.

It is an arithmetic number, because the mean of its divisors is an integer number (1820970450).

Almost surely, 2^449470586880 is an apocalyptic number.

449470586880 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 449470586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917769106800).

449470586880 is an abundant number, since it is smaller than the sum of its proper divisors (1386067626720).

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

449470586880 is a wasteful number, since it uses less digits than its factorization.

449470586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 449470586880 in words is "four hundred forty-nine billion, four hundred seventy million, five hundred eighty-six thousand, eight hundred eighty".