457416047 has 8 divisors (see below), whose sum is σ = 501143760. Its totient is φ = 414045760.

The previous prime is 457415989. The next prime is 457416077. The reversal of 457416047 is 740614754.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 457416047 - 2²⁴ = 440638831 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 457416047.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457416077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86672 + ... + 91797.

It is an arithmetic number, because the mean of its divisors is an integer number (62642970).

Almost surely, 2^457416047 is an apocalyptic number.

457416047 is a deficient number, since it is larger than the sum of its proper divisors (43727713).

457416047 is a wasteful number, since it uses less digits than its factorization.

457416047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178713.

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 457416047 is about 21387.2870416049. The cubic root of 457416047 is about 770.4961366547.

The spelling of 457416047 in words is "four hundred fifty-seven million, four hundred sixteen thousand, forty-seven".