456011541 has 6 divisors (see below), whose sum is σ = 658683350. Its totient is φ = 304007688.

The previous prime is 456011467. The next prime is 456011551. The reversal of 456011541 is 145110654.

456011541 is a `hidden beast` number, since 4 + 5 + 601 + 1 + 54 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 455993316 + 18225 = 21354^2 + 135^2 .

It is not a de Polignac number, because 456011541 - 2⁹ = 456011029 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456011551) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25333966 + ... + 25333983.

Almost surely, 2^456011541 is an apocalyptic number.

It is an amenable number.

456011541 is a deficient number, since it is larger than the sum of its proper divisors (202671809).

456011541 is a wasteful number, since it uses less digits than its factorization.

456011541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50667955 (or 50667952 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 456011541 is about 21354.4267307741. The cubic root of 456011541 is about 769.7067197023.

The spelling of 456011541 in words is "four hundred fifty-six million, eleven thousand, five hundred forty-one".