434110464 has 132 divisors (see below), whose sum is σ = 1308622536. Its totient is φ = 138412032.

The previous prime is 434110463. The next prime is 434110477. The reversal of 434110464 is 464011434.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434110463) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874357 + ... + 18874379.

Almost surely, 2^434110464 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 434110464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654311268).

434110464 is an abundant number, since it is smaller than the sum of its proper divisors (874512072).

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

434110464 is an frugal number, since it uses more digits than its factorization.

434110464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 434110464 is about 20835.3177081608. The cubic root of 434110464 is about 757.1816575617.

Adding to 434110464 its reverse (464011434), we get a palindrome (898121898).

The spelling of 434110464 in words is "four hundred thirty-four million, one hundred ten thousand, four hundred sixty-four".