449398320 has 160 divisors (see below), whose sum is σ = 1643704320. Its totient is φ = 99394560.

The previous prime is 449398307. The next prime is 449398321. The reversal of 449398320 is 23893944.

It is a happy number.

449398320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 (449398321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47766 + ... + 56394.

It is an arithmetic number, because the mean of its divisors is an integer number (10273152).

Almost surely, 2^449398320 is an apocalyptic number.

449398320 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 449398320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821852160).

449398320 is an abundant number, since it is smaller than the sum of its proper divisors (1194306000).

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

449398320 is a wasteful number, since it uses less digits than its factorization.

449398320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8683 (or 8677 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 449398320 is about 21199.0169583403. The cubic root of 449398320 is about 765.9677444623.

The spelling of 449398320 in words is "four hundred forty-nine million, three hundred ninety-eight thousand, three hundred twenty".