57450 has 24 divisors (see below), whose sum is σ = 142848. Its totient is φ = 15280.

The previous prime is 57427. The next prime is 57457. The reversal of 57450 is 5475.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 57450.

It is not an unprimeable number, because it can be changed into a prime (57457) by changing a digit.

57450 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 341.

It is an arithmetic number, because the mean of its divisors is an integer number (5952).

2⁵⁷⁴⁵⁰ is an apocalyptic number.

57450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57450 is an abundant number, since it is smaller than the sum of its proper divisors (85398).

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 (71424).

57450 is a wasteful number, since it uses less digits than its factorization.

57450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57450 is about 239.6872962841. The cubic root of 57450 is about 38.5860223044.

The spelling of 57450 in words is "fifty-seven thousand, four hundred fifty".