450614664 has 160 divisors (see below), whose sum is σ = 1306277280. Its totient is φ = 145069056.

The previous prime is 450614629. The next prime is 450614677. The reversal of 450614664 is 466416054.

450614664 is a `hidden beast` number, since 4 + 506 + 146 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4211299 + ... + 4211405.

It is an arithmetic number, because the mean of its divisors is an integer number (8164233).

Almost surely, 2^450614664 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 450614664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653138640).

450614664 is an abundant number, since it is smaller than the sum of its proper divisors (855662616).

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

450614664 is a wasteful number, since it uses less digits than its factorization.

450614664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 450614664 is about 21227.6862611072. The cubic root of 450614664 is about 766.6581794482.

The spelling of 450614664 in words is "four hundred fifty million, six hundred fourteen thousand, six hundred sixty-four".