449224776 has 384 divisors, whose sum is σ = 1710858240. Its totient is φ = 102643200.

The previous prime is 449224757. The next prime is 449224793. The reversal of 449224776 is 677422944.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1657521 + ... + 1657791.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^449224776 is an apocalyptic number.

449224776 is a gapful number since it is divisible by the number (46) 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 449224776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855429120).

449224776 is an abundant number, since it is smaller than the sum of its proper divisors (1261633464).

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

449224776 is a wasteful number, since it uses less digits than its factorization.

449224776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 449224776 is about 21194.9233544262. The cubic root of 449224776 is about 765.8691339312.

The spelling of 449224776 in words is "four hundred forty-nine million, two hundred twenty-four thousand, seven hundred seventy-six".