449862502320 has 1920 divisors, whose sum is σ = 2061368064000. Its totient is φ = 88136294400.

The previous prime is 449862502307. The next prime is 449862502339. The reversal of 449862502320 is 23205268944.

449862502320 is a `hidden beast` number, since 4 + 49 + 86 + 2 + 502 + 3 + 20 = 666.

449862502320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×449862502320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3236420811 + ... + 3236420949.

It is an arithmetic number, because the mean of its divisors is an integer number (1073629200).

Almost surely, 2^449862502320 is an apocalyptic number.

449862502320 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 449862502320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030684032000).

449862502320 is an abundant number, since it is smaller than the sum of its proper divisors (1611505561680).

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

449862502320 is a wasteful number, since it uses less digits than its factorization.

449862502320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 449862502320 in words is "four hundred forty-nine billion, eight hundred sixty-two million, five hundred two thousand, three hundred twenty".