449941680 has 120 divisors (see below), whose sum is σ = 1546301328. Its totient is φ = 117186048.

The previous prime is 449941643. The next prime is 449941693. The reversal of 449941680 is 86149944.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 23694 + ... + 38226.

Almost surely, 2^449941680 is an apocalyptic number.

449941680 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 449941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773150664).

449941680 is an abundant number, since it is smaller than the sum of its proper divisors (1096359648).

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

449941680 is a wasteful number, since it uses less digits than its factorization.

449941680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14595 (or 14586 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 449941680 is about 21211.8287754734. The cubic root of 449941680 is about 766.2763263959.

The spelling of 449941680 in words is "four hundred forty-nine million, nine hundred forty-one thousand, six hundred eighty".