450252660 has 192 divisors, whose sum is σ = 1499145984. Its totient is φ = 99532800.

The previous prime is 450252653. The next prime is 450252703. The reversal of 450252660 is 66252054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 831990 + ... + 832530.

It is an arithmetic number, because the mean of its divisors is an integer number (7808052).

Almost surely, 2^450252660 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 450252660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749572992).

450252660 is an abundant number, since it is smaller than the sum of its proper divisors (1048893324).

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

450252660 is a wasteful number, since it uses less digits than its factorization.

450252660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 450252660 is about 21219.1578532231. The cubic root of 450252660 is about 766.4528246278.

The spelling of 450252660 in words is "four hundred fifty million, two hundred fifty-two thousand, six hundred sixty".