456643107 has 12 divisors (see below), whose sum is σ = 660774504. Its totient is φ = 303884640.

The previous prime is 456643079. The next prime is 456643129. The reversal of 456643107 is 701346654.

It is a happy number.

456643107 is a `hidden beast` number, since 4 + 5 + 6 + 643 + 1 + 0 + 7 = 666.

It is not a de Polignac number, because 456643107 - 2¹² = 456639011 is a prime.

It is a super-3 number, since 3×456643107³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (456643157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39994 + ... + 50127.

It is an arithmetic number, because the mean of its divisors is an integer number (55064542).

Almost surely, 2^456643107 is an apocalyptic number.

456643107 is a deficient number, since it is larger than the sum of its proper divisors (204131397).

456643107 is a wasteful number, since it uses less digits than its factorization.

456643107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90690 (or 90687 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 456643107 is about 21369.2093208897. The cubic root of 456643107 is about 770.0618980993.

The spelling of 456643107 in words is "four hundred fifty-six million, six hundred forty-three thousand, one hundred seven".