4957600 has 36 divisors (see below), whose sum is σ = 12104694. Its totient is φ = 1982720.

The previous prime is 4957583. The next prime is 4957609. The reversal of 4957600 is 67594.

It can be written as a sum of positive squares in 3 ways, for example, as 3429904 + 1527696 = 1852^2 + 1236^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4957609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2299 + ... + 3898.

Almost surely, 2^4957600 is an apocalyptic number.

4957600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4957600 is an abundant number, since it is smaller than the sum of its proper divisors (7147094).

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

4957600 is a wasteful number, since it uses less digits than its factorization.

4957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6217 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 4957600 is about 2226.5668640308. The cubic root of 4957600 is about 170.5128687151.

It can be divided in two parts, 49 and 57600, that multiplied together give a square (2822400 = 1680²).

The spelling of 4957600 in words is "four million, nine hundred fifty-seven thousand, six hundred".