1948406417 has 2 divisors, whose sum is σ = 1948406418. Its totient is φ = 1948406416.

The previous prime is 1948406377. The next prime is 1948406443. The reversal of 1948406417 is 7146048491.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1945162816 + 3243601 = 44104^2 + 1801^2 .

It is a cyclic number.

It is not a de Polignac number, because 1948406417 - 2¹⁴ = 1948390033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1948406477) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 974203208 + 974203209.

It is an arithmetic number, because the mean of its divisors is an integer number (974203209).

Almost surely, 2^1948406417 is an apocalyptic number.

It is an amenable number.

1948406417 is a deficient number, since it is larger than the sum of its proper divisors (1).

1948406417 is an equidigital number, since it uses as much as digits as its factorization.

1948406417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 1948406417 is about 44140.7568693605. The cubic root of 1948406417 is about 1248.9925572254.

The spelling of 1948406417 in words is "one billion, nine hundred forty-eight million, four hundred six thousand, four hundred seventeen".