428817456 has 40 divisors (see below), whose sum is σ = 1230866160. Its totient is φ = 142939008.

The previous prime is 428817449. The next prime is 428817463. The reversal of 428817456 is 654718824.

428817456 is a `hidden beast` number, since 428 + 8 + 174 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (428817449) and next prime (428817463).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 495885 + ... + 496748.

It is an arithmetic number, because the mean of its divisors is an integer number (30771654).

Almost surely, 2^428817456 is an apocalyptic number.

It is an amenable number.

428817456 is an abundant number, since it is smaller than the sum of its proper divisors (802048704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428817456 is a wasteful number, since it uses less digits than its factorization.

428817456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992650 (or 992638 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 428817456 is about 20707.9080546539. The cubic root of 428817456 is about 754.0916848922.

The spelling of 428817456 in words is "four hundred twenty-eight million, eight hundred seventeen thousand, four hundred fifty-six".