456541332 has 36 divisors (see below), whose sum is σ = 1153514880. Its totient is φ = 140473632.

The previous prime is 456541331. The next prime is 456541373. The reversal of 456541332 is 233145654.

It is a junction number, because it is equal to n+sod(n) for n = 456541293 and 456541302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456541331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110532 + ... + 114587.

It is an arithmetic number, because the mean of its divisors is an integer number (32042080).

Almost surely, 2^456541332 is an apocalyptic number.

It is an amenable number.

456541332 is an abundant number, since it is smaller than the sum of its proper divisors (696973548).

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

456541332 is a wasteful number, since it uses less digits than its factorization.

456541332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225152 (or 225137 counting only the distinct ones).

The product of its digits is 43200, while the sum is 33.

The square root of 456541332 is about 21366.8278413058. The cubic root of 456541332 is about 770.0046842915.

Adding to 456541332 its reverse (233145654), we get a palindrome (689686986).

The spelling of 456541332 in words is "four hundred fifty-six million, five hundred forty-one thousand, three hundred thirty-two".