457653 has 32 divisors (see below), whose sum is σ = 778240. Its totient is φ = 233280.

The previous prime is 457651. The next prime is 457661. The reversal of 457653 is 356754.

It is not a de Polignac number, because 457653 - 2¹ = 457651 is a prime.

It is an Ulam number.

It is the 677-th Hogben number.

457653 is an undulating number in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 457653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457651) by changing a digit.

It is a nontrivial repunit in base 676.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12351 + ... + 12387.

It is an arithmetic number, because the mean of its divisors is an integer number (24320).

2⁴⁵⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

457653 is a deficient number, since it is larger than the sum of its proper divisors (320587).

457653 is a wasteful number, since it uses less digits than its factorization.

457653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97.

The product of its digits is 12600, while the sum is 30.

The square root of 457653 is about 676.5005543235. The cubic root of 457653 is about 77.0629159137.

The spelling of 457653 in words is "four hundred fifty-seven thousand, six hundred fifty-three".