450457680 has 80 divisors (see below), whose sum is σ = 1428926400. Its totient is φ = 117325824.

The previous prime is 450457673. The next prime is 450457727. The reversal of 450457680 is 86754054.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11505 + ... + 32144.

It is an arithmetic number, because the mean of its divisors is an integer number (17861580).

Almost surely, 2^450457680 is an apocalyptic number.

450457680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450457680 is an abundant number, since it is smaller than the sum of its proper divisors (978468720).

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

450457680 is a wasteful number, since it uses less digits than its factorization.

450457680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43708 (or 43702 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 450457680 is about 21223.9883151117. The cubic root of 450457680 is about 766.5691402934.

It can be divided in two parts, 45045 and 7680, that added together give a palindrome (52725).

The spelling of 450457680 in words is "four hundred fifty million, four hundred fifty-seven thousand, six hundred eighty".