457416 has 24 divisors (see below), whose sum is σ = 1239030. Its totient is φ = 152448.

The previous prime is 457411. The next prime is 457421. The reversal of 457416 is 614754.

It is an interprime number because it is at equal distance from previous prime (457411) and next prime (457421).

It can be written as a sum of positive squares in only one way, i.e., 396900 + 60516 = 630^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 457416.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457416.

It is not an unprimeable number, because it can be changed into a prime (457411) by changing a digit.

457416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3105 + ... + 3248.

2⁴⁵⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

457416 is an abundant number, since it is smaller than the sum of its proper divisors (781614).

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

457416 is a wasteful number, since it uses less digits than its factorization.

457416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6365 (or 6358 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 457416 is about 676.3253654862. The cubic root of 457416 is about 77.0496110265.

The spelling of 457416 in words is "four hundred fifty-seven thousand, four hundred sixteen".