57458300 has 72 divisors (see below), whose sum is σ = 134116416. Its totient is φ = 21288960.

The previous prime is 57458281. The next prime is 57458321. The reversal of 57458300 is 385475.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123869 + ... + 124331.

It is an arithmetic number, because the mean of its divisors is an integer number (1862728).

Almost surely, 2^57458300 is an apocalyptic number.

57458300 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57458300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67058208).

57458300 is an abundant number, since it is smaller than the sum of its proper divisors (76658116).

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

57458300 is a wasteful number, since it uses less digits than its factorization.

57458300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 57458300 is about 7580.1253287792. The cubic root of 57458300 is about 385.8788043362.

The spelling of 57458300 in words is "fifty-seven million, four hundred fifty-eight thousand, three hundred".