57462 has 16 divisors (see below), whose sum is σ = 117552. Its totient is φ = 18720.

The previous prime is 57457. The next prime is 57467. The reversal of 57462 is 26475.

It is a happy number.

57462 is nontrivially palindromic in base 13.

57462 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57457) and next prime (57467).

57462 is an undulating number in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57467) 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, 288 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (7347).

2⁵⁷⁴⁶² is an apocalyptic number.

57462 is an abundant number, since it is smaller than the sum of its proper divisors (60090).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58776).

57462 is a wasteful number, since it uses less digits than its factorization.

57462 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223.

The product of its digits is 1680, while the sum is 24.

The square root of 57462 is about 239.7123275929. The cubic root of 57462 is about 38.5887086986.

It can be divided in two parts, 574 and 62, that added together give a palindrome (636).

The spelling of 57462 in words is "fifty-seven thousand, four hundred sixty-two".