4865400 has 192 divisors, whose sum is σ = 18079200. Its totient is φ = 1198080.

The previous prime is 4865353. The next prime is 4865431. The reversal of 4865400 is 45684.

4865400 is a `hidden beast` number, since 4 + 8 + 654 + 0 + 0 = 666.

4865400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91774 + ... + 91826.

Almost surely, 2^4865400 is an apocalyptic number.

4865400 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 4865400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9039600).

4865400 is an abundant number, since it is smaller than the sum of its proper divisors (13213800).

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

4865400 is a wasteful number, since it uses less digits than its factorization.

4865400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4865400 is about 2205.7651733582. The cubic root of 4865400 is about 169.4491977127.

It can be divided in two parts, 486 and 5400, that multiplied together give a square (2624400 = 1620²).

The spelling of 4865400 in words is "four million, eight hundred sixty-five thousand, four hundred".