4975600 has 60 divisors (see below), whose sum is σ = 13669264. Its totient is φ = 1704960.

The previous prime is 4975589. The next prime is 4975631. The reversal of 4975600 is 65794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1912 + ... + 3688.

Almost surely, 2^4975600 is an apocalyptic number.

4975600 is a gapful number since it is divisible by the number (40) 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 4975600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6834632).

4975600 is an abundant number, since it is smaller than the sum of its proper divisors (8693664).

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

4975600 is a wasteful number, since it uses less digits than its factorization.

4975600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1791 counting only the distinct ones).

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

The square root of 4975600 is about 2230.6052990164. The cubic root of 4975600 is about 170.7189848824.

The spelling of 4975600 in words is "four million, nine hundred seventy-five thousand, six hundred".