457638 has 16 divisors (see below), whose sum is σ = 926640. Its totient is φ = 150656.

The previous prime is 457621. The next prime is 457643. The reversal of 457638 is 836754.

It is a junction number, because it is equal to n+sod(n) for n = 457599 and 457608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106 + ... + 962.

It is an arithmetic number, because the mean of its divisors is an integer number (57915).

2⁴⁵⁷⁶³⁸ is an apocalyptic number.

457638 is an abundant number, since it is smaller than the sum of its proper divisors (469002).

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

457638 is a wasteful number, since it uses less digits than its factorization.

457638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951.

The product of its digits is 20160, while the sum is 33.

The square root of 457638 is about 676.4894677672. The cubic root of 457638 is about 77.0620739684.

The spelling of 457638 in words is "four hundred fifty-seven thousand, six hundred thirty-eight".