428846401 has 2 divisors, whose sum is σ = 428846402. Its totient is φ = 428846400.

The previous prime is 428846387. The next prime is 428846419. The reversal of 428846401 is 104648824.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 346853376 + 81993025 = 18624^2 + 9055^2 .

It is a cyclic number.

It is not a de Polignac number, because 428846401 - 2⁷ = 428846273 is a prime.

It is not a weakly prime, because it can be changed into another prime (428846441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214423200 + 214423201.

It is an arithmetic number, because the mean of its divisors is an integer number (214423201).

Almost surely, 2^428846401 is an apocalyptic number.

It is an amenable number.

428846401 is a deficient number, since it is larger than the sum of its proper divisors (1).

428846401 is an equidigital number, since it uses as much as digits as its factorization.

428846401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 428846401 is about 20708.6069304529. The cubic root of 428846401 is about 754.1086514689.

The spelling of 428846401 in words is "four hundred twenty-eight million, eight hundred forty-six thousand, four hundred one".