459928638 has 64 divisors (see below), whose sum is σ = 1105876800. Its totient is φ = 140849280.

The previous prime is 459928627. The next prime is 459928657. The reversal of 459928638 is 836829954.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 159328 + ... + 162188.

It is an arithmetic number, because the mean of its divisors is an integer number (17279325).

Almost surely, 2^459928638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459928638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552938400).

459928638 is an abundant number, since it is smaller than the sum of its proper divisors (645948162).

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

459928638 is a wasteful number, since it uses less digits than its factorization.

459928638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 459928638 is about 21445.9468897971. The cubic root of 459928638 is about 771.9043424033.

The spelling of 459928638 in words is "four hundred fifty-nine million, nine hundred twenty-eight thousand, six hundred thirty-eight".