456894101 has 8 divisors (see below), whose sum is σ = 476988600. Its totient is φ = 437088960.

The previous prime is 456894077. The next prime is 456894181. The reversal of 456894101 is 101498654.

It can be written as a sum of positive squares in 4 ways, for example, as 244171876 + 212722225 = 15626^2 + 14585^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456894101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456894181) 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 7 ways as a sum of consecutive naturals, for example, 69110 + ... + 75431.

It is an arithmetic number, because the mean of its divisors is an integer number (59623575).

Almost surely, 2^456894101 is an apocalyptic number.

It is an amenable number.

456894101 is a deficient number, since it is larger than the sum of its proper divisors (20094499).

456894101 is a wasteful number, since it uses less digits than its factorization.

456894101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144679.

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 456894101 is about 21375.0813097869. The cubic root of 456894101 is about 770.2029604969.

The spelling of 456894101 in words is "four hundred fifty-six million, eight hundred ninety-four thousand, one hundred one".