449379000 has 288 divisors, whose sum is σ = 1768618800. Its totient is φ = 102614400.

The previous prime is 449378971. The next prime is 449379001. The reversal of 449379000 is 973944.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449379001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 440491 + ... + 441509.

Almost surely, 2^449379000 is an apocalyptic number.

449379000 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 449379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884309400).

449379000 is an abundant number, since it is smaller than the sum of its proper divisors (1319239800).

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

449379000 is a wasteful number, since it uses less digits than its factorization.

449379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 449379000 is about 21198.5612719354. The cubic root of 449379000 is about 765.9567677791.

The spelling of 449379000 in words is "four hundred forty-nine million, three hundred seventy-nine thousand".