274730625 has 135 divisors (see below), whose sum is σ = 570405693. Its totient is φ = 127296000.

The previous prime is 274730623. The next prime is 274730639. The reversal of 274730625 is 526037472.

It is a happy number.

The square root of 274730625 is 16575.

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

274730625 is a `hidden beast` number, since 27 + 4 + 7 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 237129201 + 37601424 = 15399^2 + 6132^2 .

It is not a de Polignac number, because 274730625 - 2¹ = 274730623 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 274730625.

It is not an unprimeable number, because it can be changed into a prime (274730623) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 16160617 + ... + 16160633.

Almost surely, 2^274730625 is an apocalyptic number.

274730625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

274730625 is the 16575-th square number.

274730625 is the 8288-th centered octagonal number.

It is an amenable number.

274730625 is an abundant number, since it is smaller than the sum of its proper divisors (295675068).

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

274730625 is a wasteful number, since it uses less digits than its factorization.

274730625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The cubic root of 274730625 is about 650.0833226519.

Multiplying 274730625 by its sum of digits (36), we get a square (9890302500 = 99450²).

The spelling of 274730625 in words is "two hundred seventy-four million, seven hundred thirty thousand, six hundred twenty-five".