4618400 has 72 divisors (see below), whose sum is σ = 11811744. Its totient is φ = 1760000.

The previous prime is 4618399. The next prime is 4618403. The reversal of 4618400 is 48164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (4618403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18275 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (164052).

Almost surely, 2^4618400 is an apocalyptic number.

4618400 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 4618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905872).

4618400 is an abundant number, since it is smaller than the sum of its proper divisors (7193344).

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

4618400 is a wasteful number, since it uses less digits than its factorization.

4618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4618400 is about 2149.0463001062. The cubic root of 4618400 is about 166.5318020097.

It can be divided in two parts, 46 and 18400, that multiplied together give a square (846400 = 920²).

The spelling of 4618400 in words is "four million, six hundred eighteen thousand, four hundred".