457521 has 8 divisors (see below), whose sum is σ = 645984. Its totient is φ = 287040.

The previous prime is 457517. The next prime is 457547. The reversal of 457521 is 125754.

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

It is not a de Polignac number, because 457521 - 2² = 457517 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 457491 and 457500.

It is not an unprimeable number, because it can be changed into a prime (457511) 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, 4435 + ... + 4536.

It is an arithmetic number, because the mean of its divisors is an integer number (80748).

2⁴⁵⁷⁵²¹ is an apocalyptic number.

It is an amenable number.

457521 is a deficient number, since it is larger than the sum of its proper divisors (188463).

457521 is a wasteful number, since it uses less digits than its factorization.

457521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8991.

The product of its digits is 1400, while the sum is 24.

The square root of 457521 is about 676.4029863920. The cubic root of 457521 is about 77.0555061637.

It can be divided in two parts, 45752 and 1, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 457521 in words is "four hundred fifty-seven thousand, five hundred twenty-one".