449753040 has 320 divisors, whose sum is σ = 1765601280. Its totient is φ = 104163840.

The previous prime is 449753021. The next prime is 449753099. The reversal of 449753040 is 40357944.

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

It is a junction number, because it is equal to n+sod(n) for n = 449752986 and 449753004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 546069 + ... + 546891.

It is an arithmetic number, because the mean of its divisors is an integer number (5517504).

Almost surely, 2^449753040 is an apocalyptic number.

449753040 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 449753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882800640).

449753040 is an abundant number, since it is smaller than the sum of its proper divisors (1315848240).

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

449753040 is a wasteful number, since it uses less digits than its factorization.

449753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 449753040 is about 21207.3817337266. The cubic root of 449753040 is about 766.1692232027.

The spelling of 449753040 in words is "four hundred forty-nine million, seven hundred fifty-three thousand, forty".