449936424 has 128 divisors (see below), whose sum is σ = 1457760000. Its totient is φ = 128532096.

The previous prime is 449936411. The next prime is 449936441. The reversal of 449936424 is 424639944.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 449936424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71052 + ... + 77124.

It is an arithmetic number, because the mean of its divisors is an integer number (11388750).

Almost surely, 2^449936424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449936424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728880000).

449936424 is an abundant number, since it is smaller than the sum of its proper divisors (1007823576).

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

449936424 is a wasteful number, since it uses less digits than its factorization.

449936424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6109 (or 6085 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 449936424 is about 21211.7048819750. The cubic root of 449936424 is about 766.2733426284.

The spelling of 449936424 in words is "four hundred forty-nine million, nine hundred thirty-six thousand, four hundred twenty-four".