456735232 has 40 divisors (see below), whose sum is σ = 914574276. Its totient is φ = 227868672.

The previous prime is 456735217. The next prime is 456735271. The reversal of 456735232 is 232537654.

It can be written as a sum of positive squares in 2 ways, for example, as 431974656 + 24760576 = 20784^2 + 4976^2 .

It is a junction number, because it is equal to n+sod(n) for n = 456735191 and 456735200.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 374688 + ... + 375904.

Almost surely, 2^456735232 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 456735232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457287138).

456735232 is an abundant number, since it is smaller than the sum of its proper divisors (457839044).

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

456735232 is an equidigital number, since it uses as much as digits as its factorization.

456735232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1952 counting only the distinct ones).

The product of its digits is 151200, while the sum is 37.

The square root of 456735232 is about 21371.3647669025. The cubic root of 456735232 is about 770.1136797359.

It can be divided in two parts, 45673 and 5232, that added together give a palindrome (50905).

The spelling of 456735232 in words is "four hundred fifty-six million, seven hundred thirty-five thousand, two hundred thirty-two".