57485420 has 48 divisors (see below), whose sum is σ = 125139168. Its totient is φ = 22164480.

The previous prime is 57485413. The next prime is 57485423. The reversal of 57485420 is 2458475.

57485420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (57485423) 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, 96644 + ... + 97236.

It is an arithmetic number, because the mean of its divisors is an integer number (2607066).

Almost surely, 2^57485420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57485420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62569584).

57485420 is an abundant number, since it is smaller than the sum of its proper divisors (67653748).

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

57485420 is a wasteful number, since it uses less digits than its factorization.

57485420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 57485420 is about 7581.9140063707. The cubic root of 57485420 is about 385.9395056745.

The spelling of 57485420 in words is "fifty-seven million, four hundred eighty-five thousand, four hundred twenty".