456389420356 has 27 divisors (see below), whose sum is σ = 804432583549. Its totient is φ = 226563218288.

The previous prime is 456389420339. The next prime is 456389420369. The reversal of 456389420356 is 653024983654.

The square root of 456389420356 is 675566.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53469162756 + 402920257600 = 231234^2 + 634760^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456389420297 and 456389420306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 201317535 + ... + 201319801.

Almost surely, 2^456389420356 is an apocalyptic number.

456389420356 is the 675566-th square number.

It is an amenable number.

456389420356 is a deficient number, since it is larger than the sum of its proper divisors (348043163193).

456389420356 is an frugal number, since it uses more digits than its factorization.

456389420356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 55.

The spelling of 456389420356 in words is "four hundred fifty-six billion, three hundred eighty-nine million, four hundred twenty thousand, three hundred fifty-six".