64449000 has 512 divisors, whose sum is σ = 287539200. Its totient is φ = 12960000.

The previous prime is 64448983. The next prime is 64449017. The reversal of 64449000 is 94446.

It is an interprime number because it is at equal distance from previous prime (64448983) and next prime (64449017).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2078985 + ... + 2079015.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 2^64449000 is an apocalyptic number.

64449000 is a gapful number since it is divisible by the number (60) 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 64449000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

64449000 is an abundant number, since it is smaller than the sum of its proper divisors (223090200).

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

64449000 is a wasteful number, since it uses less digits than its factorization.

64449000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64449000 is about 8028.0134529035. The cubic root of 64449000 is about 400.9332376421.

The spelling of 64449000 in words is "sixty-four million, four hundred forty-nine thousand".