428096401 has 16 divisors (see below), whose sum is σ = 460107648. Its totient is φ = 397267200.

The previous prime is 428096393. The next prime is 428096411. The reversal of 428096401 is 104690824.

It is a cyclic number.

It is not a de Polignac number, because 428096401 - 2³ = 428096393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428096411) 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 in 15 ways as a sum of consecutive naturals, for example, 485481 + ... + 486361.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 2^428096401 is an apocalyptic number.

It is an amenable number.

428096401 is a deficient number, since it is larger than the sum of its proper divisors (32011247).

428096401 is a wasteful number, since it uses less digits than its factorization.

428096401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 428096401 is about 20690.4905935070. The cubic root of 428096401 is about 753.6687802866.

The spelling of 428096401 in words is "four hundred twenty-eight million, ninety-six thousand, four hundred one".