449433360 has 240 divisors, whose sum is σ = 1595106240. Its totient is φ = 117573120.

The previous prime is 449433343. The next prime is 449433371. The reversal of 449433360 is 63334944.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185651 + ... + 1186029.

It is an arithmetic number, because the mean of its divisors is an integer number (6646276).

Almost surely, 2^449433360 is an apocalyptic number.

449433360 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 449433360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797553120).

449433360 is an abundant number, since it is smaller than the sum of its proper divisors (1145672880).

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

449433360 is a wasteful number, since it uses less digits than its factorization.

449433360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 449433360 is about 21199.8433956480. The cubic root of 449433360 is about 765.9876516812.

The spelling of 449433360 in words is "four hundred forty-nine million, four hundred thirty-three thousand, three hundred sixty".