725440400 has 90 divisors (see below), whose sum is σ = 1776314322. Its totient is φ = 284710400.

The previous prime is 725440367. The next prime is 725440411. The reversal of 725440400 is 4044527.

It can be written as a sum of positive squares in 3 ways, for example, as 14258176 + 711182224 = 3776^2 + 26668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 725440400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1392140 + ... + 1392660.

Almost surely, 2^725440400 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 725440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888157161).

725440400 is an abundant number, since it is smaller than the sum of its proper divisors (1050873922).

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

725440400 is a wasteful number, since it uses less digits than its factorization.

725440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 725440400 is about 26934.0008168115. Note that the first 3 decimals coincide. The cubic root of 725440400 is about 898.5327533186.

Adding to 725440400 its reverse (4044527), we get a palindrome (729484927).

The spelling of 725440400 in words is "seven hundred twenty-five million, four hundred forty thousand, four hundred".