4932800 has 42 divisors (see below), whose sum is σ = 12141708. Its totient is φ = 1972480.

The previous prime is 4932797. The next prime is 4932817. The reversal of 4932800 is 82394.

It is a self number, because there is not a number n which added to its sum of digits gives 4932800.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59 + ... + 3141.

Almost surely, 2^4932800 is an apocalyptic number.

4932800 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 4932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070854).

4932800 is an abundant number, since it is smaller than the sum of its proper divisors (7208908).

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

4932800 is a wasteful number, since it uses less digits than its factorization.

4932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4932800 is about 2220.9907699043. The cubic root of 4932800 is about 170.2280675960.

The spelling of 4932800 in words is "four million, nine hundred thirty-two thousand, eight hundred".