449352960 has 288 divisors, whose sum is σ = 1669866240. Its totient is φ = 100859904.

The previous prime is 449352923. The next prime is 449352971. The reversal of 449352960 is 69253944.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962126 + ... + 1962354.

Almost surely, 2^449352960 is an apocalyptic number.

449352960 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 449352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834933120).

449352960 is an abundant number, since it is smaller than the sum of its proper divisors (1220513280).

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

449352960 is a wasteful number, since it uses less digits than its factorization.

449352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 449352960 is about 21197.9470704123. The cubic root of 449352960 is about 765.9419726215.

It can be divided in two parts, 44935 and 2960, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 449352960 in words is "four hundred forty-nine million, three hundred fifty-two thousand, nine hundred sixty".