4620800 has 90 divisors (see below), whose sum is σ = 12082653. Its totient is φ = 1751040.

The previous prime is 4620799. The next prime is 4620809. The reversal of 4620800 is 80264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4528384 + 92416 = 2128^2 + 304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1520.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4620809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243191 + ... + 243209.

Almost surely, 2^4620800 is an apocalyptic number.

4620800 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 4620800

4620800 is an abundant number, since it is smaller than the sum of its proper divisors (7461853).

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

4620800 is an equidigital number, since it uses as much as digits as its factorization.

4620800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4620800 is about 2149.6046148071. The cubic root of 4620800 is about 166.5606436802.

The spelling of 4620800 in words is "four million, six hundred twenty thousand, eight hundred".