449955440 has 240 divisors, whose sum is σ = 1253919744. Its totient is φ = 149614080.

The previous prime is 449955427. The next prime is 449955449. The reversal of 449955440 is 44559944.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 449955391 and 449955400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449955449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9573497 + ... + 9573543.

Almost surely, 2^449955440 is an apocalyptic number.

449955440 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 449955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626959872).

449955440 is an abundant number, since it is smaller than the sum of its proper divisors (803964304).

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

449955440 is a wasteful number, since it uses less digits than its factorization.

449955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 449955440 is about 21212.1531203223. The cubic root of 449955440 is about 766.2841376710.

The spelling of 449955440 in words is "four hundred forty-nine million, nine hundred fifty-five thousand, four hundred forty".