456477080348 has 48 divisors (see below), whose sum is σ = 868128844800. Its totient is φ = 209220848640.

The previous prime is 456477080347. The next prime is 456477080357. The reversal of 456477080348 is 843080774654.

It is a super-2 number, since 2×456477080348² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456477080293 and 456477080302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456477080347) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 31136636 + ... + 31151292.

It is an arithmetic number, because the mean of its divisors is an integer number (18086017600).

Almost surely, 2^456477080348 is an apocalyptic number.

It is an amenable number.

456477080348 is a deficient number, since it is larger than the sum of its proper divisors (411651764452).

456477080348 is a wasteful number, since it uses less digits than its factorization.

456477080348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27928 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 456477080348 in words is "four hundred fifty-six billion, four hundred seventy-seven million, eighty thousand, three hundred forty-eight".