449100864 has 63 divisors (see below), whose sum is σ = 1288726023. Its totient is φ = 149530752.

The previous prime is 449100823. The next prime is 449100877. The reversal of 449100864 is 468001944.

It is a happy number.

The square root of 449100864 is 21192.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 508167 + ... + 509049.

Almost surely, 2^449100864 is an apocalyptic number.

449100864 is the 21192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449100864

449100864 is an abundant number, since it is smaller than the sum of its proper divisors (839625159).

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

449100864 is an frugal number, since it uses more digits than its factorization.

449100864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 449100864 is about 765.7987095705.

Multiplying 449100864 by its sum of digits (36), we get a square (16167631104 = 127152²).

449100864 divided by its sum of digits (36) gives a square (12475024 = 3532²).

The spelling of 449100864 in words is "four hundred forty-nine million, one hundred thousand, eight hundred sixty-four".