398601225 has 63 divisors (see below), whose sum is σ = 785332951. Its totient is φ = 193261200.

The previous prime is 398601223. The next prime is 398601233. The reversal of 398601225 is 522106893.

The square root of 398601225 is 19965.

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

It can be written as a sum of positive squares in only one way, i.e., 143496441 + 255104784 = 11979^2 + 15972^2 .

It is not a de Polignac number, because 398601225 - 2¹ = 398601223 is a prime.

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 398601225.

It is not an unprimeable number, because it can be changed into a prime (398601223) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 36236470 + ... + 36236480.

Almost surely, 2^398601225 is an apocalyptic number.

398601225 is the 19965-th square number.

398601225 is the 9983-rd centered octagonal number.

It is an amenable number.

398601225 is a deficient number, since it is larger than the sum of its proper divisors (386731726).

398601225 is an frugal number, since it uses more digits than its factorization.

398601225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 19 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The cubic root of 398601225 is about 735.9464414644.

Multiplying 398601225 by its sum of digits (36), we get a square (14349644100 = 119790²).

Multiplying 398601225 by its product of nonzero digits (25920), we get a cube (10331743752000 = 21780³).

The spelling of 398601225 in words is "three hundred ninety-eight million, six hundred one thousand, two hundred twenty-five".