449505972 has 36 divisors (see below), whose sum is σ = 1146685540. Its totient is φ = 148459392.

The previous prime is 449505949. The next prime is 449506019. The reversal of 449505972 is 279505944.

449505972 is a `hidden beast` number, since 4 + 4 + 9 + 50 + 597 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150700176 + 298805796 = 12276^2 + 17286^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53353 + ... + 61200.

Almost surely, 2^449505972 is an apocalyptic number.

It is an amenable number.

449505972 is an abundant number, since it is smaller than the sum of its proper divisors (697179568).

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

449505972 is a wasteful number, since it uses less digits than its factorization.

449505972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114672 (or 114667 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 449505972 is about 21201.5558863023. Note that the first 3 decimals coincide. The cubic root of 449505972 is about 766.0289013267.

The spelling of 449505972 in words is "four hundred forty-nine million, five hundred five thousand, nine hundred seventy-two".