449157564 has 36 divisors (see below), whose sum is σ = 1136295160. Its totient is φ = 149597280.

The previous prime is 449157557. The next prime is 449157607. The reversal of 449157564 is 465751944.

449157564 is a `hidden beast` number, since 449 + 157 + 56 + 4 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 47079 + ... + 55809.

Almost surely, 2^449157564 is an apocalyptic number.

It is an amenable number.

449157564 is an abundant number, since it is smaller than the sum of its proper divisors (687137596).

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

449157564 is a wasteful number, since it uses less digits than its factorization.

449157564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10170 (or 10165 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 449157564 is about 21193.3377267480. The cubic root of 449157564 is about 765.8309361541.

The spelling of 449157564 in words is "four hundred forty-nine million, one hundred fifty-seven thousand, five hundred sixty-four".