428457251 has 8 divisors (see below), whose sum is σ = 434449008. Its totient is φ = 422500000.

The previous prime is 428457199. The next prime is 428457283. The reversal of 428457251 is 152754824.

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

It is a 5-Lehmer number, since φ(428457251) divides (428457251-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 428457251 - 2¹⁰ = 428456227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428457751) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16901 + ... + 33801.

It is an arithmetic number, because the mean of its divisors is an integer number (54306126).

Almost surely, 2^428457251 is an apocalyptic number.

428457251 is the 16901-st pentagonal number.

428457251 is a deficient number, since it is larger than the sum of its proper divisors (5991757).

428457251 is a wasteful number, since it uses less digits than its factorization.

428457251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17253.

The product of its digits is 89600, while the sum is 38.

The square root of 428457251 is about 20699.2089462375. The cubic root of 428457251 is about 753.8804810475.

The spelling of 428457251 in words is "four hundred twenty-eight million, four hundred fifty-seven thousand, two hundred fifty-one".