449022464 has 80 divisors (see below), whose sum is σ = 995534496. Its totient is φ = 200601600.

The previous prime is 449022451. The next prime is 449022487. The reversal of 449022464 is 464220944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342899 + ... + 344205.

Almost surely, 2^449022464 is an apocalyptic number.

449022464 is a gapful number since it is divisible by the number (44) 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 449022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497767248).

449022464 is an abundant number, since it is smaller than the sum of its proper divisors (546512032).

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

449022464 is a wasteful number, since it uses less digits than its factorization.

449022464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 449022464 is about 21190.1501646402. The cubic root of 449022464 is about 765.7541448875.

The spelling of 449022464 in words is "four hundred forty-nine million, twenty-two thousand, four hundred sixty-four".