7144400 has 60 divisors (see below), whose sum is σ = 17540172. Its totient is φ = 2795520.

The previous prime is 7144387. The next prime is 7144409. The reversal of 7144400 is 44417.

It can be written as a sum of positive squares in 6 ways, for example, as 153664 + 6990736 = 392^2 + 2644^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7144409) 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, 21032 + ... + 21368.

Almost surely, 2^7144400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770086).

7144400 is an abundant number, since it is smaller than the sum of its proper divisors (10395772).

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

7144400 is a wasteful number, since it uses less digits than its factorization.

7144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 7144400 is about 2672.9010456805. The cubic root of 7144400 is about 192.5995437260.

Adding to 7144400 its reverse (44417), we get a palindrome (7188817).

The spelling of 7144400 in words is "seven million, one hundred forty-four thousand, four hundred".