457401 has 16 divisors (see below), whose sum is σ = 728064. Its totient is φ = 249744.

The previous prime is 457399. The next prime is 457403. The reversal of 457401 is 104754.

457401 = T₃₅₈ + T₃₅₉ + ... + T₃₆₄.

It is an interprime number because it is at equal distance from previous prime (457399) and next prime (457403).

It is not a de Polignac number, because 457401 - 2¹ = 457399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (457403) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10 + ... + 956.

It is an arithmetic number, because the mean of its divisors is an integer number (45504).

2⁴⁵⁷⁴⁰¹ is an apocalyptic number.

It is an amenable number.

457401 is a deficient number, since it is larger than the sum of its proper divisors (270663).

457401 is a wasteful number, since it uses less digits than its factorization.

457401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 457401 is about 676.3142760581. The cubic root of 457401 is about 77.0487687904.

It can be divided in two parts, 457 and 401, that added together give a palindrome (858).

The spelling of 457401 in words is "four hundred fifty-seven thousand, four hundred one".