57768450 has 48 divisors (see below), whose sum is σ = 143803296. Its totient is φ = 15347200.

The previous prime is 57768443. The next prime is 57768457. The reversal of 57768450 is 5486775.

It is an interprime number because it is at equal distance from previous prime (57768443) and next prime (57768457).

It is not an unprimeable number, because it can be changed into a prime (57768457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52405 + ... + 53495.

It is an arithmetic number, because the mean of its divisors is an integer number (2995902).

Almost surely, 2^57768450 is an apocalyptic number.

57768450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57768450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71901648).

57768450 is an abundant number, since it is smaller than the sum of its proper divisors (86034846).

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

57768450 is a wasteful number, since it uses less digits than its factorization.

57768450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 57768450 is about 7600.5559007220. Note that the first 3 decimals coincide. The cubic root of 57768450 is about 386.5718612529.

The spelling of 57768450 in words is "fifty-seven million, seven hundred sixty-eight thousand, four hundred fifty".