428074560 has 168 divisors, whose sum is σ = 1550090880. Its totient is φ = 108131328.

The previous prime is 428074529. The next prime is 428074561. The reversal of 428074560 is 65470824.

428074560 is a `hidden beast` number, since 4 + 28 + 0 + 74 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (428074561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50809 + ... + 58631.

Almost surely, 2^428074560 is an apocalyptic number.

428074560 is a gapful number since it is divisible by the number (40) 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 428074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775045440).

428074560 is an abundant number, since it is smaller than the sum of its proper divisors (1122016320).

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

428074560 is a wasteful number, since it uses less digits than its factorization.

428074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7865 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 428074560 is about 20689.9627839201. The cubic root of 428074560 is about 753.6559629556.

The spelling of 428074560 in words is "four hundred twenty-eight million, seventy-four thousand, five hundred sixty".