1890945225 has 81 divisors (see below), whose sum is σ = 3683983797. Its totient is φ = 926752320.

The previous prime is 1890945193. The next prime is 1890945229. The reversal of 1890945225 is 5225490981.

It is a happy number.

The square root of 1890945225 is 43485.

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

It can be written as a sum of positive squares in 4 ways, for example, as 487393929 + 1403551296 = 22077^2 + 37464^2 .

It is not a de Polignac number, because 1890945225 - 2⁵ = 1890945193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (1890945229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8479464 + ... + 8479686.

Almost surely, 2^1890945225 is an apocalyptic number.

1890945225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1890945225 is the 43485-th square number.

1890945225 is the 21743-rd centered octagonal number.

It is an amenable number.

1890945225 is a deficient number, since it is larger than the sum of its proper divisors (1793038572).

1890945225 is a wasteful number, since it uses less digits than its factorization.

1890945225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The cubic root of 1890945225 is about 1236.5916689196.

The spelling of 1890945225 in words is "one billion, eight hundred ninety million, nine hundred forty-five thousand, two hundred twenty-five".