456346660 has 192 divisors, whose sum is σ = 1259274240. Its totient is φ = 135907200.

The previous prime is 456346643. The next prime is 456346661. The reversal of 456346660 is 66643654.

456346660 = T₃₅ + T₃₆ + ... + T₁₃₉₈.

It is not an unprimeable number, because it can be changed into a prime (456346661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5776501 + ... + 5776579.

It is an arithmetic number, because the mean of its divisors is an integer number (6558720).

Almost surely, 2^456346660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456346660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629637120).

456346660 is an abundant number, since it is smaller than the sum of its proper divisors (802927580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456346660 is a wasteful number, since it uses less digits than its factorization.

456346660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 40.

The square root of 456346660 is about 21362.2718829248. The cubic root of 456346660 is about 769.8952238387.

The spelling of 456346660 in words is "four hundred fifty-six million, three hundred forty-six thousand, six hundred sixty".