450460728 has 48 divisors (see below), whose sum is σ = 1222701480. Its totient is φ = 149820864.

The previous prime is 450460711. The next prime is 450460753. The reversal of 450460728 is 827064054.

450460728 is a `hidden beast` number, since 45 + 0 + 4 + 607 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 450460692 and 450460701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26926 + ... + 40322.

Almost surely, 2^450460728 is an apocalyptic number.

It is an amenable number.

450460728 is an abundant number, since it is smaller than the sum of its proper divisors (772240752).

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

450460728 is a wasteful number, since it uses less digits than its factorization.

450460728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13876 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 450460728 is about 21224.0601205330. The cubic root of 450460728 is about 766.5708692738.

The spelling of 450460728 in words is "four hundred fifty million, four hundred sixty thousand, seven hundred twenty-eight".