406100749 has 2 divisors, whose sum is σ = 406100750. Its totient is φ = 406100748.

The previous prime is 406100707. The next prime is 406100771. The reversal of 406100749 is 947001604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298667524 + 107433225 = 17282^2 + 10365^2 .

It is a cyclic number.

It is not a de Polignac number, because 406100749 - 2⁷ = 406100621 is a prime.

It is a super-2 number, since 2×406100749² = 329835636676722002, which contains 22 as substring.

It is equal to p_21644266 and since 406100749 and 21644266 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406100749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406100249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203050374 + 203050375.

It is an arithmetic number, because the mean of its divisors is an integer number (203050375).

Almost surely, 2^406100749 is an apocalyptic number.

It is an amenable number.

406100749 is a deficient number, since it is larger than the sum of its proper divisors (1).

406100749 is an equidigital number, since it uses as much as digits as its factorization.

406100749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 406100749 is about 20151.9415689903. The cubic root of 406100749 is about 740.5333074282.

The spelling of 406100749 in words is "four hundred six million, one hundred thousand, seven hundred forty-nine".