456018432 has 160 divisors (see below), whose sum is σ = 1282727424. Its totient is φ = 143769600.

The previous prime is 456018427. The next prime is 456018439. The reversal of 456018432 is 234810654.

It is a junction number, because it is equal to n+sod(n) for n = 456018393 and 456018402.

It is not an unprimeable number, because it can be changed into a prime (456018439) by changing a digit.

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, 2904498 + ... + 2904654.

Almost surely, 2^456018432 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 456018432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641363712).

456018432 is an abundant number, since it is smaller than the sum of its proper divisors (826708992).

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

456018432 is a wasteful number, since it uses less digits than its factorization.

456018432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 456018432 is about 21354.5880784435. The cubic root of 456018432 is about 769.7105968134.

The spelling of 456018432 in words is "four hundred fifty-six million, eighteen thousand, four hundred thirty-two".