459789696 has 160 divisors (see below), whose sum is σ = 1392671280. Its totient is φ = 150543360.

The previous prime is 459789691. The next prime is 459789727. The reversal of 459789696 is 696987954.

It is a happy number.

459789696 is a `hidden beast` number, since 459 + 7 + 8 + 96 + 96 = 666.

It is a super-2 number, since 2×459789696² = 422813129095544832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459789691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 632085 + ... + 632811.

Almost surely, 2^459789696 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 459789696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696335640).

459789696 is an abundant number, since it is smaller than the sum of its proper divisors (932881584).

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

459789696 is an equidigital number, since it uses as much as digits as its factorization.

459789696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 793 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 459789696 is about 21442.7072917577. The cubic root of 459789696 is about 771.8266051733.

The spelling of 459789696 in words is "four hundred fifty-nine million, seven hundred eighty-nine thousand, six hundred ninety-six".