120450625 has 15 divisors (see below), whose sum is σ = 150858741. Its totient is φ = 96141000.

The previous prime is 120450619. The next prime is 120450653. The reversal of 120450625 is 526054021.

The square root of 120450625 is 10975.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9443329 + 111007296 = 3073^2 + 10536^2 .

It is not a de Polignac number, because 120450625 - 2¹¹ = 120448577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120450625.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 274156 + ... + 274594.

Almost surely, 2^120450625 is an apocalyptic number.

120450625 is the 10975-th square number.

120450625 is the 5488-th centered octagonal number.

It is an amenable number.

120450625 is a deficient number, since it is larger than the sum of its proper divisors (30408116).

120450625 is an frugal number, since it uses more digits than its factorization.

120450625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The cubic root of 120450625 is about 493.8590529830.

Multiplying 120450625 by its sum of digits (25), we get a square (3011265625 = 54875²).

120450625 divided by its sum of digits (25) gives a square (4818025 = 2195²).

The spelling of 120450625 in words is "one hundred twenty million, four hundred fifty thousand, six hundred twenty-five".