449649000 has 192 divisors, whose sum is σ = 1553610240. Its totient is φ = 117244800.

The previous prime is 449648981. The next prime is 449649001. The reversal of 449649000 is 946944.

449649000 is a `hidden beast` number, since 4 + 4 + 9 + 649 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (449649001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422469 + ... + 423531.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2^449649000 is an apocalyptic number.

449649000 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 449649000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

449649000 is an abundant number, since it is smaller than the sum of its proper divisors (1103961240).

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

449649000 is a wasteful number, since it uses less digits than its factorization.

449649000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 449649000 is about 21204.9286723629. The cubic root of 449649000 is about 766.1101401162.

The spelling of 449649000 in words is "four hundred forty-nine million, six hundred forty-nine thousand".