449396640 has 576 divisors, whose sum is σ = 2006363520. Its totient is φ = 92897280.

The previous prime is 449396621. The next prime is 449396659. The reversal of 449396640 is 46693944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (449396621) and next prime (449396659).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328384 + ... + 2328576.

It is an arithmetic number, because the mean of its divisors is an integer number (3483270).

Almost surely, 2^449396640 is an apocalyptic number.

449396640 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 449396640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003181760).

449396640 is an abundant number, since it is smaller than the sum of its proper divisors (1556966880).

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

449396640 is a wasteful number, since it uses less digits than its factorization.

449396640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 449396640 is about 21198.9773338244. The cubic root of 449396640 is about 765.9667899806.

The spelling of 449396640 in words is "four hundred forty-nine million, three hundred ninety-six thousand, six hundred forty".