450664560 has 200 divisors, whose sum is σ = 1657701936. Its totient is φ = 113080320.

The previous prime is 450664559. The next prime is 450664589. The reversal of 450664560 is 65466054.

It is a happy number.

450664560 is a `hidden beast` number, since 4 + 5 + 0 + 6 + 645 + 6 + 0 = 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, 108115 + ... + 112205.

Almost surely, 2^450664560 is an apocalyptic number.

450664560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828850968).

450664560 is an abundant number, since it is smaller than the sum of its proper divisors (1207037376).

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

450664560 is a wasteful number, since it uses less digits than its factorization.

450664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 450664560 is about 21228.8614861937. The cubic root of 450664560 is about 766.6864754386.

The spelling of 450664560 in words is "four hundred fifty million, six hundred sixty-four thousand, five hundred sixty".