459677712 has 80 divisors (see below), whose sum is σ = 1284167808. Its totient is φ = 140851200.

The previous prime is 459677707. The next prime is 459677731. The reversal of 459677712 is 217776954.

It is a happy number.

It is a super-2 number, since 2×459677712² = 422607197819109888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 162712 + ... + 165512.

Almost surely, 2^459677712 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 459677712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642083904).

459677712 is an abundant number, since it is smaller than the sum of its proper divisors (824490096).

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

459677712 is a wasteful number, since it uses less digits than its factorization.

459677712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3082 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 459677712 is about 21440.0958953079. The cubic root of 459677712 is about 771.7639393870.

The spelling of 459677712 in words is "four hundred fifty-nine million, six hundred seventy-seven thousand, seven hundred twelve".