457348501 has 16 divisors (see below), whose sum is σ = 498569904. Its totient is φ = 417890304.

The previous prime is 457348469. The next prime is 457348517. The reversal of 457348501 is 105843754.

It can be written as a sum of positive squares in 8 ways, for example, as 117831025 + 339517476 = 10855^2 + 18426^2 .

It is a cyclic number.

It is not a de Polignac number, because 457348501 - 2⁵ = 457348469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457348571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84781 + ... + 90013.

It is an arithmetic number, because the mean of its divisors is an integer number (31160619).

Almost surely, 2^457348501 is an apocalyptic number.

It is an amenable number.

457348501 is a deficient number, since it is larger than the sum of its proper divisors (41221403).

457348501 is a wasteful number, since it uses less digits than its factorization.

457348501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400.

The product of its (nonzero) digits is 67200, while the sum is 37.

The square root of 457348501 is about 21385.7078676391. The cubic root of 457348501 is about 770.4582087520.

The spelling of 457348501 in words is "four hundred fifty-seven million, three hundred forty-eight thousand, five hundred one".