456626661 has 8 divisors (see below), whose sum is σ = 608952480. Its totient is φ = 304359312.

The previous prime is 456626633. The next prime is 456626711. The reversal of 456626661 is 166626654.

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 456626661 - 2⁵ = 456626629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456626161) 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, 9111 + ... + 31563.

It is an arithmetic number, because the mean of its divisors is an integer number (76119060).

Almost surely, 2^456626661 is an apocalyptic number.

It is an amenable number.

456626661 is a deficient number, since it is larger than the sum of its proper divisors (152325819).

456626661 is a wasteful number, since it uses less digits than its factorization.

456626661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29235.

The product of its digits is 311040, while the sum is 42.

The square root of 456626661 is about 21368.8245114232. The cubic root of 456626661 is about 770.0526533961.

The spelling of 456626661 in words is "four hundred fifty-six million, six hundred twenty-six thousand, six hundred sixty-one".