456513430020 has 48 divisors (see below), whose sum is σ = 1296240962688. Its totient is φ = 120022309120.

The previous prime is 456513430013. The next prime is 456513430117. The reversal of 456513430020 is 20034315654.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53577129 + ... + 53585648.

It is an arithmetic number, because the mean of its divisors is an integer number (27005020056).

Almost surely, 2^456513430020 is an apocalyptic number.

It is an amenable number.

456513430020 is an abundant number, since it is smaller than the sum of its proper divisors (839727532668).

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

456513430020 is a wasteful number, since it uses less digits than its factorization.

456513430020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107162860 (or 107162858 counting only the distinct ones).

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

Adding to 456513430020 its reverse (20034315654), we get a palindrome (476547745674).

The spelling of 456513430020 in words is "four hundred fifty-six billion, five hundred thirteen million, four hundred thirty thousand, twenty".