165456450 has 72 divisors (see below), whose sum is σ = 454042368. Its totient is φ = 43177440.

The previous prime is 165456449. The next prime is 165456463. The reversal of 165456450 is 54654561.

165456450 is a `hidden beast` number, since 1 + 6 + 5 + 4 + 5 + 645 + 0 = 666.

It is a super-4 number, since 4×165456450⁴ (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17239 + ... + 25061.

It is an arithmetic number, because the mean of its divisors is an integer number (6306144).

Almost surely, 2^165456450 is an apocalyptic number.

165456450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 165456450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227021184).

165456450 is an abundant number, since it is smaller than the sum of its proper divisors (288585918).

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

165456450 is a wasteful number, since it uses less digits than its factorization.

165456450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7888 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 165456450 is about 12862.9876000873. The cubic root of 165456450 is about 548.9859552281.

The spelling of 165456450 in words is "one hundred sixty-five million, four hundred fifty-six thousand, four hundred fifty".