456434304 has 128 divisors (see below), whose sum is σ = 1267721280. Its totient is φ = 145367040.

The previous prime is 456434299. The next prime is 456434323. The reversal of 456434304 is 403434654.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 834159 + ... + 834705.

Almost surely, 2^456434304 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 456434304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633860640).

456434304 is an abundant number, since it is smaller than the sum of its proper divisors (811286976).

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

456434304 is a wasteful number, since it uses less digits than its factorization.

456434304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

The square root of 456434304 is about 21364.3231580128. The cubic root of 456434304 is about 769.9445082852.

Adding to 456434304 its reverse (403434654), we get a palindrome (859868958).

The spelling of 456434304 in words is "four hundred fifty-six million, four hundred thirty-four thousand, three hundred four".