725630400 has 420 divisors, whose sum is σ = 2915427240. Its totient is φ = 175564800.

The previous prime is 725630383. The next prime is 725630407. The reversal of 725630400 is 4036527.

It is a happy number.

725630400 is a `hidden beast` number, since 7 + 25 + 630 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725630407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1425346 + ... + 1425854.

Almost surely, 2^725630400 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 725630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457713620).

725630400 is an abundant number, since it is smaller than the sum of its proper divisors (2189796840).

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

725630400 is a wasteful number, since it uses less digits than its factorization.

725630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 725630400 is about 26937.5277262038. The cubic root of 725630400 is about 898.6111913362.

Adding to 725630400 its reverse (4036527), we get a palindrome (729666927).

The spelling of 725630400 in words is "seven hundred twenty-five million, six hundred thirty thousand, four hundred".