456230344000 has 112 divisors (see below), whose sum is σ = 1156131003456. Its totient is φ = 178248000000.

The previous prime is 456230343977. The next prime is 456230344007. The reversal of 456230344000 is 443032654.

It is a super-2 number, since 2×456230344000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456230344007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319126 + ... + 1007125.

Almost surely, 2^456230344000 is an apocalyptic number.

456230344000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456230344000 is an abundant number, since it is smaller than the sum of its proper divisors (699900659456).

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

456230344000 is a wasteful number, since it uses less digits than its factorization.

456230344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326321 (or 1326301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 456230344000 its reverse (443032654), we get a palindrome (456673376654).

The spelling of 456230344000 in words is "four hundred fifty-six billion, two hundred thirty million, three hundred forty-four thousand".