450306640 has 40 divisors (see below), whose sum is σ = 1196530560. Its totient is φ = 154390656.

The previous prime is 450306617. The next prime is 450306641. The reversal of 450306640 is 46603054.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 450306599 and 450306608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450306641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 401500 + ... + 402619.

It is an arithmetic number, because the mean of its divisors is an integer number (29913264).

Almost surely, 2^450306640 is an apocalyptic number.

450306640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450306640 is an abundant number, since it is smaller than the sum of its proper divisors (746223920).

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

450306640 is a wasteful number, since it uses less digits than its factorization.

450306640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804139 (or 804133 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 450306640 is about 21220.4297788711. The cubic root of 450306640 is about 766.4834529645.

Adding to 450306640 its reverse (46603054), we get a palindrome (496909694).

The spelling of 450306640 in words is "four hundred fifty million, three hundred six thousand, six hundred forty".