4952800 has 72 divisors (see below), whose sum is σ = 12467952. Its totient is φ = 1920000.

The previous prime is 4952771. The next prime is 4952807. The reversal of 4952800 is 82594.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4952807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32725 + ... + 32875.

It is an arithmetic number, because the mean of its divisors is an integer number (173166).

Almost surely, 2^4952800 is an apocalyptic number.

4952800 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 4952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6233976).

4952800 is an abundant number, since it is smaller than the sum of its proper divisors (7515152).

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

4952800 is a wasteful number, since it uses less digits than its factorization.

4952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 4952800 is about 2225.4887103735. The cubic root of 4952800 is about 170.4578201660.

The spelling of 4952800 in words is "four million, nine hundred fifty-two thousand, eight hundred".