450154080 has 144 divisors (see below), whose sum is σ = 1617099120. Its totient is φ = 113716224.

The previous prime is 450154063. The next prime is 450154093. The reversal of 450154080 is 80451054.

450154080 is a `hidden beast` number, since 45 + 0 + 1 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19134 + ... + 35586.

It is an arithmetic number, because the mean of its divisors is an integer number (11229855).

Almost surely, 2^450154080 is an apocalyptic number.

450154080 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 450154080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808549560).

450154080 is an abundant number, since it is smaller than the sum of its proper divisors (1166945040).

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

450154080 is a wasteful number, since it uses less digits than its factorization.

450154080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16493 (or 16482 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 450154080 is about 21216.8348252043. The cubic root of 450154080 is about 766.3968838631.

The spelling of 450154080 in words is "four hundred fifty million, one hundred fifty-four thousand, eighty".