428642401 has 8 divisors (see below), whose sum is σ = 467784000. Its totient is φ = 389529840.

The previous prime is 428642381. The next prime is 428642419. The reversal of 428642401 is 104246824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428642401 - 2¹⁷ = 428511329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428642101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33675 + ... + 44623.

It is an arithmetic number, because the mean of its divisors is an integer number (58473000).

Almost surely, 2^428642401 is an apocalyptic number.

It is an amenable number.

428642401 is a deficient number, since it is larger than the sum of its proper divisors (39141599).

428642401 is a wasteful number, since it uses less digits than its factorization.

428642401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14519.

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 428642401 is about 20703.6808563115. The cubic root of 428642401 is about 753.9890573171.

The spelling of 428642401 in words is "four hundred twenty-eight million, six hundred forty-two thousand, four hundred one".