449457120 has 384 divisors, whose sum is σ = 1828915200. Its totient is φ = 100970496.

The previous prime is 449457097. The next prime is 449457121. The reversal of 449457120 is 21754944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449457121) 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, 2691277 + ... + 2691443.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^449457120 is an apocalyptic number.

449457120 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 449457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

449457120 is an abundant number, since it is smaller than the sum of its proper divisors (1379458080).

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

449457120 is a wasteful number, since it uses less digits than its factorization.

449457120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 449457120 is about 21200.4037697399. The cubic root of 449457120 is about 766.0011498232.

The spelling of 449457120 in words is "four hundred forty-nine million, four hundred fifty-seven thousand, one hundred twenty".