900413749 has 2 divisors, whose sum is σ = 900413750. Its totient is φ = 900413748.

The previous prime is 900413713. The next prime is 900413791. The reversal of 900413749 is 947314009.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 879419025 + 20994724 = 29655^2 + 4582^2 .

It is a cyclic number.

It is not a de Polignac number, because 900413749 - 2⁷ = 900413621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (900413149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 450206874 + 450206875.

It is an arithmetic number, because the mean of its divisors is an integer number (450206875).

Almost surely, 2^900413749 is an apocalyptic number.

It is an amenable number.

900413749 is a deficient number, since it is larger than the sum of its proper divisors (1).

900413749 is an equidigital number, since it uses as much as digits as its factorization.

900413749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 900413749 is about 30006.8950243107. The cubic root of 900413749 is about 965.6373138901.

The spelling of 900413749 in words is "nine hundred million, four hundred thirteen thousand, seven hundred forty-nine".