449554560 has 512 divisors, whose sum is σ = 1842462720. Its totient is φ = 90685440.

The previous prime is 449554559. The next prime is 449554561. The reversal of 449554560 is 65455944.

It is an interprime number because it is at equal distance from previous prime (449554559) and next prime (449554561).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (449554561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416279 + ... + 5416361.

It is an arithmetic number, because the mean of its divisors is an integer number (3598560).

Almost surely, 2^449554560 is an apocalyptic number.

449554560 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 449554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921231360).

449554560 is an abundant number, since it is smaller than the sum of its proper divisors (1392908160).

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

449554560 is a wasteful number, since it uses less digits than its factorization.

449554560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The square root of 449554560 is about 21202.7017146400. The cubic root of 449554560 is about 766.0565008645.

The spelling of 449554560 in words is "four hundred forty-nine million, five hundred fifty-four thousand, five hundred sixty".