45360225 has 27 divisors (see below), whose sum is σ = 81426553. Its totient is φ = 24138240.

The previous prime is 45360193. The next prime is 45360257. The reversal of 45360225 is 52206354.

The square root of 45360225 is 6735.

It is a perfect power (a square), and thus also a powerful number.

45360225 is a `hidden beast` number, since 4 + 53 + 602 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (45360193) and next prime (45360257).

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 45319824 = 201^2 + 6732^2 .

It is not a de Polignac number, because 45360225 - 2⁵ = 45360193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100801 + ... + 101249.

Almost surely, 2^45360225 is an apocalyptic number.

45360225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45360225 is the 6735-th square number.

45360225 is the 3368-th centered octagonal number.

It is an amenable number.

45360225 is a deficient number, since it is larger than the sum of its proper divisors (36066328).

45360225 is an equidigital number, since it uses as much as digits as its factorization.

45360225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The cubic root of 45360225 is about 356.6359068396.

Adding to 45360225 its reverse (52206354), we get a palindrome (97566579).

The spelling of 45360225 in words is "forty-five million, three hundred sixty thousand, two hundred twenty-five".