725246400 has 168 divisors, whose sum is σ = 2398735360. Its totient is φ = 191831040.

The previous prime is 725246383. The next prime is 725246407. The reversal of 725246400 is 4642527.

It is a super-4 number, since 4×725246400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725246407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 666657 + ... + 667743.

Almost surely, 2^725246400 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 725246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199367680).

725246400 is an abundant number, since it is smaller than the sum of its proper divisors (1673488960).

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

725246400 is a wasteful number, since it uses less digits than its factorization.

725246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 725246400 is about 26930.3991801087. The cubic root of 725246400 is about 898.4526498416.

Adding to 725246400 its reverse (4642527), we get a palindrome (729888927).

The spelling of 725246400 in words is "seven hundred twenty-five million, two hundred forty-six thousand, four hundred".