449854560 has 240 divisors, whose sum is σ = 1607782176. Its totient is φ = 118444032.

The previous prime is 449854553. The next prime is 449854567. The reversal of 449854560 is 65458944.

449854560 is a `hidden beast` number, since 4 + 4 + 9 + 85 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (449854553) and next prime (449854567).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449854567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1334712 + ... + 1335048.

Almost surely, 2^449854560 is an apocalyptic number.

449854560 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 449854560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803891088).

449854560 is an abundant number, since it is smaller than the sum of its proper divisors (1157927616).

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

449854560 is a wasteful number, since it uses less digits than its factorization.

449854560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 449854560 is about 21209.7751048897. The cubic root of 449854560 is about 766.2268664283.

The spelling of 449854560 in words is "four hundred forty-nine million, eight hundred fifty-four thousand, five hundred sixty".