339440238225 has 225 divisors, whose sum is σ = 698156694235. Its totient is φ = 163038981600.

The previous prime is 339440238199. The next prime is 339440238233. The reversal of 339440238225 is 522832044933.

The square root of 339440238225 is 582615.

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

339440238225 is a `hidden beast` number, since 3 + 394 + 4 + 0 + 2 + 38 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122198485761 + 217241752464 = 349569^2 + 466092^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 339440238225 - 2³¹ = 337292754577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3172338622 + ... + 3172338728.

Almost surely, 2^339440238225 is an apocalyptic number.

339440238225 is the 582615-th square number.

339440238225 is the 291308-th centered octagonal number.

It is an amenable number.

339440238225 is an abundant number, since it is smaller than the sum of its proper divisors (358716456010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

339440238225 is an frugal number, since it uses more digits than its factorization.

339440238225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 339440238225 in words is "three hundred thirty-nine billion, four hundred forty million, two hundred thirty-eight thousand, two hundred twenty-five".