450420084 has 36 divisors (see below), whose sum is σ = 1152287136. Its totient is φ = 148330128.

The previous prime is 450420079. The next prime is 450420097. The reversal of 450420084 is 480024054.

450420084 is a `hidden beast` number, since 450 + 4 + 200 + 8 + 4 = 666.

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

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 11 ways as a sum of consecutive naturals, for example, 72384 + ... + 78359.

It is an arithmetic number, because the mean of its divisors is an integer number (32007976).

Almost surely, 2^450420084 is an apocalyptic number.

It is an amenable number.

450420084 is an abundant number, since it is smaller than the sum of its proper divisors (701867052).

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

450420084 is a wasteful number, since it uses less digits than its factorization.

450420084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150836 (or 150831 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 450420084 is about 21223.1026007038. The cubic root of 450420084 is about 766.5478132916.

The spelling of 450420084 in words is "four hundred fifty million, four hundred twenty thousand, eighty-four".