450737460 has 60 divisors (see below), whose sum is σ = 1413985188. Its totient is φ = 120196224.

The previous prime is 450737407. The next prime is 450737471. The reversal of 450737460 is 64737054.

It can be written as a sum of positive squares in 2 ways, for example, as 184199184 + 266538276 = 13572^2 + 16326^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (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 19 ways as a sum of consecutive naturals, for example, 137497 + ... + 140736.

Almost surely, 2^450737460 is an apocalyptic number.

It is an amenable number.

450737460 is an abundant number, since it is smaller than the sum of its proper divisors (963247728).

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

450737460 is a wasteful number, since it uses less digits than its factorization.

450737460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278254 (or 278243 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 450737460 is about 21230.5784188750. The cubic root of 450737460 is about 766.7278132285.

The spelling of 450737460 in words is "four hundred fifty million, seven hundred thirty-seven thousand, four hundred sixty".