234829406464 has 81 divisors (see below), whose sum is σ = 484846228461. Its totient is φ = 113510830080.

The previous prime is 234829406447. The next prime is 234829406479. The reversal of 234829406464 is 464604928432.

The square root of 234829406464 is 484592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 219698438400 + 15130968064 = 468720^2 + 123008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240357144 + ... + 240358120.

Almost surely, 2^234829406464 is an apocalyptic number.

234829406464 is the 484592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234829406464

234829406464 is an abundant number, since it is smaller than the sum of its proper divisors (250016821997).

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

234829406464 is an frugal number, since it uses more digits than its factorization.

234829406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 52.

The spelling of 234829406464 in words is "two hundred thirty-four billion, eight hundred twenty-nine million, four hundred six thousand, four hundred sixty-four".