1416393225 has 81 divisors (see below), whose sum is σ = 2761383807. Its totient is φ = 693688320.

The previous prime is 1416393217. The next prime is 1416393239. The reversal of 1416393225 is 5223936141.

The square root of 1416393225 is 37635.

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

1416393225 is a `hidden beast` number, since 1 + 41 + 6 + 393 + 225 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1415941641 + 451584 = 37629^2 + 672^2 .

It is not a de Polignac number, because 1416393225 - 2³ = 1416393217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1416393225.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 7338729 + ... + 7338921.

Almost surely, 2^1416393225 is an apocalyptic number.

1416393225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1416393225 is the 37635-th square number.

1416393225 is the 18818-th centered octagonal number.

It is an amenable number.

1416393225 is a deficient number, since it is larger than the sum of its proper divisors (1344990582).

1416393225 is a wasteful number, since it uses less digits than its factorization.

1416393225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 1416393225 is about 1123.0384187574.

Multiplying 1416393225 by its sum of digits (36), we get a square (50990156100 = 225810²).

The spelling of 1416393225 in words is "one billion, four hundred sixteen million, three hundred ninety-three thousand, two hundred twenty-five".