397404225 has 45 divisors (see below), whose sum is σ = 737795443. Its totient is φ = 211470480.

The previous prime is 397404199. The next prime is 397404263. The reversal of 397404225 is 522404793.

The square root of 397404225 is 19935.

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

397404225 is a `hidden beast` number, since 397 + 40 + 4 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 143065521 + 254338704 = 11961^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 397404225 - 2¹³ = 397396033 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 397404225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 896854 + ... + 897296.

Almost surely, 2^397404225 is an apocalyptic number.

397404225 is the 19935-th square number.

397404225 is the 9968-th centered octagonal number.

It is an amenable number.

397404225 is a deficient number, since it is larger than the sum of its proper divisors (340391218).

397404225 is an frugal number, since it uses more digits than its factorization.

397404225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 397404225 is about 735.2090201032.

Multiplying 397404225 by its sum of digits (36), we get a square (14306552100 = 119610²).

The spelling of 397404225 in words is "three hundred ninety-seven million, four hundred four thousand, two hundred twenty-five".