4340400 has 60 divisors (see below), whose sum is σ = 13907592. Its totient is φ = 1157120.

The previous prime is 4340381. The next prime is 4340407. The reversal of 4340400 is 40434.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4340400.

It is not an unprimeable number, because it can be changed into a prime (4340407) 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, 609 + ... + 3008.

Almost surely, 2^4340400 is an apocalyptic number.

4340400 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 4340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953796).

4340400 is an abundant number, since it is smaller than the sum of its proper divisors (9567192).

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

4340400 is a wasteful number, since it uses less digits than its factorization.

4340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4340400 is about 2083.3626664602. The cubic root of 4340400 is about 163.1210161826.

Adding to 4340400 its reverse (40434), we get a palindrome (4380834).

The spelling of 4340400 in words is "four million, three hundred forty thousand, four hundred".