4857600 has 216 divisors, whose sum is σ = 18248832. Its totient is φ = 1126400.

The previous prime is 4857569. The next prime is 4857637. The reversal of 4857600 is 67584.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211189 + ... + 211211.

Almost surely, 2^4857600 is an apocalyptic number.

4857600 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 4857600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9124416).

4857600 is an abundant number, since it is smaller than the sum of its proper divisors (13391232).

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

4857600 is a wasteful number, since it uses less digits than its factorization.

4857600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 4857600 is about 2203.9963702329. The cubic root of 4857600 is about 169.3585980586.

The spelling of 4857600 in words is "four million, eight hundred fifty-seven thousand, six hundred".