428177457 has 12 divisors (see below), whose sum is σ = 618742800. Its totient is φ = 285329688.

The previous prime is 428177443. The next prime is 428177461. The reversal of 428177457 is 754771824.

428177457 is a `hidden beast` number, since 4 + 28 + 177 + 457 = 666.

It is not a de Polignac number, because 428177457 - 2⁸ = 428177201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428177437) 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 11 ways as a sum of consecutive naturals, for example, 15478 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (51561900).

Almost surely, 2^428177457 is an apocalyptic number.

It is an amenable number.

428177457 is a deficient number, since it is larger than the sum of its proper divisors (190565343).

428177457 is a wasteful number, since it uses less digits than its factorization.

428177457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20332 (or 20329 counting only the distinct ones).

The product of its digits is 439040, while the sum is 45.

The square root of 428177457 is about 20692.4492750375. The cubic root of 428177457 is about 753.7163439672.

The spelling of 428177457 in words is "four hundred twenty-eight million, one hundred seventy-seven thousand, four hundred fifty-seven".