401404777 has 2 divisors, whose sum is σ = 401404778. Its totient is φ = 401404776.

The previous prime is 401404741. The next prime is 401404813. The reversal of 401404777 is 777404104.

It is a balanced prime because it is at equal distance from previous prime (401404741) and next prime (401404813).

It can be written as a sum of positive squares in only one way, i.e., 209554576 + 191850201 = 14476^2 + 13851^2 .

It is a cyclic number.

It is not a de Polignac number, because 401404777 - 2¹⁹ = 400880489 is a prime.

It is a super-2 number, since 2×401404777² = 322251589996839458, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401404177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200702388 + 200702389.

It is an arithmetic number, because the mean of its divisors is an integer number (200702389).

Almost surely, 2^401404777 is an apocalyptic number.

It is an amenable number.

401404777 is a deficient number, since it is larger than the sum of its proper divisors (1).

401404777 is an equidigital number, since it uses as much as digits as its factorization.

401404777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21952, while the sum is 34.

The square root of 401404777 is about 20035.0886446754. The cubic root of 401404777 is about 737.6678324155.

The spelling of 401404777 in words is "four hundred one million, four hundred four thousand, seven hundred seventy-seven".