57451320 has 96 divisors (see below), whose sum is σ = 193190400. Its totient is φ = 14789376.

The previous prime is 57451253. The next prime is 57451321. The reversal of 57451320 is 2315475.

57451320 = T₁₉₇₆ + T₁₉₇₇ + ... + T₂₀₀₄.

It is a happy number.

57451320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57451321) 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 23 ways as a sum of consecutive naturals, for example, 7689 + ... + 13191.

It is an arithmetic number, because the mean of its divisors is an integer number (2012400).

Almost surely, 2^57451320 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 57451320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96595200).

57451320 is an abundant number, since it is smaller than the sum of its proper divisors (135739080).

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

57451320 is a wasteful number, since it uses less digits than its factorization.

57451320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57451320 is about 7579.6649002446. The cubic root of 57451320 is about 385.8631782611.

Adding to 57451320 its reverse (2315475), we get a palindrome (59766795).

The spelling of 57451320 in words is "fifty-seven million, four hundred fifty-one thousand, three hundred twenty".