456728049 has 12 divisors (see below), whose sum is σ = 659938500. Its totient is φ = 304383744.

The previous prime is 456728021. The next prime is 456728071. The reversal of 456728049 is 940827654.

It is a happy number.

456728049 is a `hidden beast` number, since 4 + 567 + 2 + 80 + 4 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 296528400 + 160199649 = 17220^2 + 12657^2 .

It is not a de Polignac number, because 456728049 - 2¹¹ = 456726001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456727995 and 456728013.

It is not an unprimeable number, because it can be changed into a prime (456728009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 28477 + ... + 41525.

It is an arithmetic number, because the mean of its divisors is an integer number (54994875).

Almost surely, 2^456728049 is an apocalyptic number.

It is an amenable number.

456728049 is a deficient number, since it is larger than the sum of its proper divisors (203210451).

456728049 is a wasteful number, since it uses less digits than its factorization.

456728049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16944 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 456728049 is about 21371.1967142694. The cubic root of 456728049 is about 770.1096425643.

The spelling of 456728049 in words is "four hundred fifty-six million, seven hundred twenty-eight thousand, forty-nine".