450971136 has 480 divisors, whose sum is σ = 1715890176. Its totient is φ = 110592000.

The previous prime is 450971123. The next prime is 450971153. The reversal of 450971136 is 631179054.

450971136 is a `hidden beast` number, since 450 + 9 + 71 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 450971136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10999276 + ... + 10999316.

Almost surely, 2^450971136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450971136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857945088).

450971136 is an abundant number, since it is smaller than the sum of its proper divisors (1264919040).

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

450971136 is a wasteful number, since it uses less digits than its factorization.

450971136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 450971136 is about 21236.0809943831. The cubic root of 450971136 is about 766.8602886727.

The spelling of 450971136 in words is "four hundred fifty million, nine hundred seventy-one thousand, one hundred thirty-six".