725460210 has 96 divisors (see below), whose sum is σ = 2012308272. Its totient is φ = 180695040.

The previous prime is 725460199. The next prime is 725460257. The reversal of 725460210 is 12064527.

725460210 is a `hidden beast` number, since 7 + 2 + 54 + 602 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 332588169 + 392872041 = 18237^2 + 19821^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207880 + ... + 211340.

Almost surely, 2^725460210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725460210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006154136).

725460210 is an abundant number, since it is smaller than the sum of its proper divisors (1286848062).

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

725460210 is a wasteful number, since it uses less digits than its factorization.

725460210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 725460210 is about 26934.3685650880. The cubic root of 725460210 is about 898.5409321535.

The spelling of 725460210 in words is "seven hundred twenty-five million, four hundred sixty thousand, two hundred ten".