459734964 has 48 divisors (see below), whose sum is σ = 1159827648. Its totient is φ = 140894208.

The previous prime is 459734921. The next prime is 459734983. The reversal of 459734964 is 469437954.

It is a happy number.

It is a super-2 number, since 2×459734964² = 422712474248162592, which contains 22 as substring.

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, 34359 + ... + 45825.

It is an arithmetic number, because the mean of its divisors is an integer number (24163076).

Almost surely, 2^459734964 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 459734964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579913824).

459734964 is an abundant number, since it is smaller than the sum of its proper divisors (700092684).

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

459734964 is a wasteful number, since it uses less digits than its factorization.

459734964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11744 (or 11742 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The square root of 459734964 is about 21441.4310156762. The cubic root of 459734964 is about 771.7959786424.

The spelling of 459734964 in words is "four hundred fifty-nine million, seven hundred thirty-four thousand, nine hundred sixty-four".