1004762401 has 2 divisors, whose sum is σ = 1004762402. Its totient is φ = 1004762400.

The previous prime is 1004762387. The next prime is 1004762411. The reversal of 1004762401 is 1042674001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 960938001 + 43824400 = 30999^2 + 6620^2 .

It is a cyclic number.

It is not a de Polignac number, because 1004762401 - 2⁷ = 1004762273 is a prime.

It is not a weakly prime, because it can be changed into another prime (1004762411) 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, 502381200 + 502381201.

It is an arithmetic number, because the mean of its divisors is an integer number (502381201).

Almost surely, 2^1004762401 is an apocalyptic number.

It is an amenable number.

1004762401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1004762401 is an equidigital number, since it uses as much as digits as its factorization.

1004762401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 1004762401 is about 31697.9873335832. The cubic root of 1004762401 is about 1001.5849535949.

The spelling of 1004762401 in words is "one billion, four million, seven hundred sixty-two thousand, four hundred one".