456117101 has 8 divisors (see below), whose sum is σ = 498343008. Its totient is φ = 414018000.

The previous prime is 456117073. The next prime is 456117107. The reversal of 456117101 is 101711654.

It is a happy number.

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

It is not a de Polignac number, because 456117101 - 2⁶ = 456117037 is a prime.

It is a super-3 number, since 3×456117101³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456117107) 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 7 ways as a sum of consecutive naturals, for example, 24095 + ... + 38636.

It is an arithmetic number, because the mean of its divisors is an integer number (62292876).

Almost surely, 2^456117101 is an apocalyptic number.

It is an amenable number.

456117101 is a deficient number, since it is larger than the sum of its proper divisors (42225907).

456117101 is a wasteful number, since it uses less digits than its factorization.

456117101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63403.

The product of its (nonzero) digits is 840, while the sum is 26.

The square root of 456117101 is about 21356.8982064344. The cubic root of 456117101 is about 769.7661070682.

Adding to 456117101 its reverse (101711654), we get a palindrome (557828755).

The spelling of 456117101 in words is "four hundred fifty-six million, one hundred seventeen thousand, one hundred one".