730425600 has 270 divisors, whose sum is σ = 2702633010. Its totient is φ = 194641920.

The previous prime is 730425599. The next prime is 730425601. The reversal of 730425600 is 6524037.

It is a happy number.

730425600 is a `hidden beast` number, since 7 + 30 + 4 + 25 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (730425599) and next prime (730425601).

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 725117184 = 2304^2 + 26928^2 .

It is a tau number, because it is divible by the number of its divisors (270).

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

It is not an unprimeable number, because it can be changed into a prime (730425601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 517696 + ... + 519104.

Almost surely, 2^730425600 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 730425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351316505).

730425600 is an abundant number, since it is smaller than the sum of its proper divisors (1972207410).

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

730425600 is a wasteful number, since it uses less digits than its factorization.

730425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1419 counting only the distinct ones).

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

The square root of 730425600 is about 27026.3871059378. The cubic root of 730425600 is about 900.5862846618.

Adding to 730425600 its reverse (6524037), we get a palindrome (736949637).

It can be divided in two parts, 730425 and 600, that added together give a square (731025 = 855²).

The spelling of 730425600 in words is "seven hundred thirty million, four hundred twenty-five thousand, six hundred".