428674464 has 96 divisors (see below), whose sum is σ = 1262701440. Its totient is φ = 141474816.

The previous prime is 428674453. The next prime is 428674513. The reversal of 428674464 is 464476824.

428674464 is a `hidden beast` number, since 42 + 86 + 74 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86584 + ... + 91400.

It is an arithmetic number, because the mean of its divisors is an integer number (13153140).

Almost surely, 2^428674464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428674464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

428674464 is an abundant number, since it is smaller than the sum of its proper divisors (834026976).

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

428674464 is a wasteful number, since it uses less digits than its factorization.

428674464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939 (or 4925 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 428674464 is about 20704.4551727400. The cubic root of 428674464 is about 754.0078566305.

The spelling of 428674464 in words is "four hundred twenty-eight million, six hundred seventy-four thousand, four hundred sixty-four".