428921460 has 192 divisors, whose sum is σ = 1467970560. Its totient is φ = 103109760.

The previous prime is 428921429. The next prime is 428921461. The reversal of 428921460 is 64129824.

428921460 is a `hidden beast` number, since 428 + 92 + 146 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428921461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 967999 + ... + 968441.

It is an arithmetic number, because the mean of its divisors is an integer number (7645680).

Almost surely, 2^428921460 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 428921460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733985280).

428921460 is an abundant number, since it is smaller than the sum of its proper divisors (1039049100).

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

428921460 is a wasteful number, since it uses less digits than its factorization.

428921460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428921460 is about 20710.4191169566. The cubic root of 428921460 is about 754.1526449509.

The spelling of 428921460 in words is "four hundred twenty-eight million, nine hundred twenty-one thousand, four hundred sixty".