449598240 has 576 divisors, whose sum is σ = 1954907136. Its totient is φ = 91570176.

The previous prime is 449598229. The next prime is 449598263. The reversal of 449598240 is 42895944.

It is a super-2 number, since 2×449598240² = 404277154822195200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6158844 + ... + 6158916.

It is an arithmetic number, because the mean of its divisors is an integer number (3393936).

Almost surely, 2^449598240 is an apocalyptic number.

449598240 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 449598240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977453568).

449598240 is an abundant number, since it is smaller than the sum of its proper divisors (1505308896).

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

449598240 is a wasteful number, since it uses less digits than its factorization.

449598240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 449598240 is about 21203.7317470298. The cubic root of 449598240 is about 766.0813108040.

The spelling of 449598240 in words is "four hundred forty-nine million, five hundred ninety-eight thousand, two hundred forty".