746109225 has 45 divisors (see below), whose sum is σ = 1384332807. Its totient is φ = 397269360.

The previous prime is 746109223. The next prime is 746109229. The reversal of 746109225 is 522901647.

The square root of 746109225 is 27315.

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

746109225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 268599321 + 477509904 = 16389^2 + 21852^2 .

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

It is not a de Polignac number, because 746109225 - 2¹ = 746109223 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 746109225.

It is not an unprimeable number, because it can be changed into a prime (746109223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1228872 + ... + 1229478.

Almost surely, 2^746109225 is an apocalyptic number.

746109225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

746109225 is the 27315-th square number.

746109225 is the 13658-th centered octagonal number.

It is an amenable number.

746109225 is a deficient number, since it is larger than the sum of its proper divisors (638223582).

746109225 is an frugal number, since it uses more digits than its factorization.

746109225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 746109225 is about 906.9864589884.

Multiplying 746109225 by its sum of digits (36), we get a square (26859932100 = 163890²).

The spelling of 746109225 in words is "seven hundred forty-six million, one hundred nine thousand, two hundred twenty-five".