428460624 has 80 divisors (see below), whose sum is σ = 1233601600. Its totient is φ = 142383744.

The previous prime is 428460611. The next prime is 428460667. The reversal of 428460624 is 426064824.

It is a happy number.

428460624 is a `hidden beast` number, since 4 + 28 + 4 + 6 + 0 + 624 = 666.

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

It is a congruent number.

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, 159807 + ... + 162465.

It is an arithmetic number, because the mean of its divisors is an integer number (15420020).

Almost surely, 2^428460624 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 428460624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616800800).

428460624 is an abundant number, since it is smaller than the sum of its proper divisors (805140976).

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

428460624 is a wasteful number, since it uses less digits than its factorization.

428460624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3037 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 428460624 is about 20699.2904226208. The cubic root of 428460624 is about 753.8824593329.

The spelling of 428460624 in words is "four hundred twenty-eight million, four hundred sixty thousand, six hundred twenty-four".