4690800 has 90 divisors (see below), whose sum is σ = 16290872. Its totient is φ = 1249920.

The previous prime is 4690799. The next prime is 4690801. The reversal of 4690800 is 80964.

It is an interprime number because it is at equal distance from previous prime (4690799) and next prime (4690801).

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2949 + ... + 4251.

Almost surely, 2^4690800 is an apocalyptic number.

4690800 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 4690800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145436).

4690800 is an abundant number, since it is smaller than the sum of its proper divisors (11600072).

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

4690800 is a wasteful number, since it uses less digits than its factorization.

4690800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4690800 is about 2165.8254777336. The cubic root of 4690800 is about 167.3975017077.

The spelling of 4690800 in words is "four million, six hundred ninety thousand, eight hundred".