449016000 has 224 divisors, whose sum is σ = 1514904768. Its totient is φ = 117145600.

The previous prime is 449015989. The next prime is 449016023. The reversal of 449016000 is 610944.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1271824 + ... + 1272176.

Almost surely, 2^449016000 is an apocalyptic number.

449016000 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 449016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757452384).

449016000 is an abundant number, since it is smaller than the sum of its proper divisors (1065888768).

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

449016000 is a wasteful number, since it uses less digits than its factorization.

449016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 449016000 is about 21189.9976403963. The cubic root of 449016000 is about 765.7504703434.

Adding to 449016000 its reverse (610944), we get a palindrome (449626944).

The spelling of 449016000 in words is "four hundred forty-nine million, sixteen thousand".