4806400 has 54 divisors (see below), whose sum is σ = 11912432. Its totient is φ = 1920000.

The previous prime is 4806391. The next prime is 4806401. The reversal of 4806400 is 46084.

It is a super-3 number, since 3×4806400³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4806401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6025 + ... + 6775.

Almost surely, 2^4806400 is an apocalyptic number.

4806400 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 4806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956216).

4806400 is an abundant number, since it is smaller than the sum of its proper divisors (7106032).

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

4806400 is an equidigital number, since it uses as much as digits as its factorization.

With its predecessor (4806399) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (758).

4806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4806400 is about 2192.3503369672. The cubic root of 4806400 is about 168.7614715567.

It can be divided in two parts, 4 and 806400, that added together give a square (806404 = 898²).

The spelling of 4806400 in words is "four million, eight hundred six thousand, four hundred".