449947760 has 40 divisors (see below), whose sum is σ = 1082207520. Its totient is φ = 173772032.

The previous prime is 449947727. The next prime is 449947763. The reversal of 449947760 is 67749944.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×449947760⁴ (a number of 36 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 449947699 and 449947708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449947763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94652 + ... + 99291.

It is an arithmetic number, because the mean of its divisors is an integer number (27055188).

Almost surely, 2^449947760 is an apocalyptic number.

449947760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

449947760 is an abundant number, since it is smaller than the sum of its proper divisors (632259760).

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

449947760 is a wasteful number, since it uses less digits than its factorization.

449947760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193985 (or 193979 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 50.

The square root of 449947760 is about 21211.9720912507. The cubic root of 449947760 is about 766.2797779092.

The spelling of 449947760 in words is "four hundred forty-nine million, nine hundred forty-seven thousand, seven hundred sixty".