4368400 has 60 divisors (see below), whose sum is σ = 10717072. Its totient is φ = 1710720.

The previous prime is 4368391. The next prime is 4368407. The reversal of 4368400 is 48634.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4368407) 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, 26719 + ... + 26881.

Almost surely, 2^4368400 is an apocalyptic number.

4368400 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 4368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358536).

4368400 is an abundant number, since it is smaller than the sum of its proper divisors (6348672).

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

4368400 is a wasteful number, since it uses less digits than its factorization.

4368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4368400 is about 2090.0717691027. The cubic root of 4368400 is about 163.4710301648.

It can be divided in two parts, 436 and 8400, that added together give a square (8836 = 94²).

The spelling of 4368400 in words is "four million, three hundred sixty-eight thousand, four hundred".