4700800 has 96 divisors (see below), whose sum is σ = 12616380. Its totient is φ = 1720320.

The previous prime is 4700797. The next prime is 4700807. The reversal of 4700800 is 80074.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 69696 + 4631104 = 264^2 + 2152^2 .

It is not an unprimeable number, because it can be changed into a prime (4700807) 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, 41544 + ... + 41656.

Almost surely, 2^4700800 is an apocalyptic number.

4700800 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 4700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6308190).

4700800 is an abundant number, since it is smaller than the sum of its proper divisors (7915580).

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

4700800 is a wasteful number, since it uses less digits than its factorization.

4700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 4700800 is about 2168.1328372588. The cubic root of 4700800 is about 167.5163717568.

Adding to 4700800 its reverse (80074), we get a palindrome (4780874).

The spelling of 4700800 in words is "four million, seven hundred thousand, eight hundred".