428874264 has 240 divisors, whose sum is σ = 1506304800. Its totient is φ = 113000832.

The previous prime is 428874263. The next prime is 428874311. The reversal of 428874264 is 462478824.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428874263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 412257 + ... + 413295.

It is an arithmetic number, because the mean of its divisors is an integer number (6276270).

Almost surely, 2^428874264 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 428874264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753152400).

428874264 is an abundant number, since it is smaller than the sum of its proper divisors (1077430536).

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

428874264 is a wasteful number, since it uses less digits than its factorization.

428874264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1064 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The square root of 428874264 is about 20709.2796591287. The cubic root of 428874264 is about 754.1249830927.

The spelling of 428874264 in words is "four hundred twenty-eight million, eight hundred seventy-four thousand, two hundred sixty-four".