4606800 has 120 divisors (see below), whose sum is σ = 16144800. Its totient is φ = 1113600.

The previous prime is 4606783. The next prime is 4606807. The reversal of 4606800 is 86064.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13026 + ... + 13374.

It is an arithmetic number, because the mean of its divisors is an integer number (134540).

Almost surely, 2^4606800 is an apocalyptic number.

4606800 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 4606800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8072400).

4606800 is an abundant number, since it is smaller than the sum of its proper divisors (11538000).

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

4606800 is a wasteful number, since it uses less digits than its factorization.

4606800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4606800 is about 2146.3457317031. The cubic root of 4606800 is about 166.3922595635.

It can be divided in two parts, 460 and 6800, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 4606800 in words is "four million, six hundred six thousand, eight hundred".