57305000 has 80 divisors (see below), whose sum is σ = 136971780. Its totient is φ = 22464000.

The previous prime is 57304997. The next prime is 57305009. The reversal of 57305000 is 50375.

It can be written as a sum of positive squares in 10 ways, for example, as 6980164 + 50324836 = 2642^2 + 7094^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (57305009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 364922 + ... + 365078.

Almost surely, 2^57305000 is an apocalyptic number.

57305000 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 57305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68485890).

57305000 is an abundant number, since it is smaller than the sum of its proper divisors (79666780).

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

57305000 is a wasteful number, since it uses less digits than its factorization.

57305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 20.

The square root of 57305000 is about 7570.0066050169. The cubic root of 57305000 is about 385.5353209870.

Adding to 57305000 its reverse (50375), we get a palindrome (57355375).

The spelling of 57305000 in words is "fifty-seven million, three hundred five thousand".