428574456 has 128 divisors (see below), whose sum is σ = 1250726400. Its totient is φ = 135717120.

The previous prime is 428574439. The next prime is 428574467. The reversal of 428574456 is 654475824.

428574456 is a `hidden beast` number, since 4 + 28 + 574 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1395855 + ... + 1396161.

It is an arithmetic number, because the mean of its divisors is an integer number (9771300).

Almost surely, 2^428574456 is an apocalyptic number.

428574456 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428574456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625363200).

428574456 is an abundant number, since it is smaller than the sum of its proper divisors (822151944).

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

428574456 is a wasteful number, since it uses less digits than its factorization.

428574456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 45.

The square root of 428574456 is about 20702.0398994882. The cubic root of 428574456 is about 753.9492164199.

The spelling of 428574456 in words is "four hundred twenty-eight million, five hundred seventy-four thousand, four hundred fifty-six".