456766460 has 24 divisors (see below), whose sum is σ = 1009695120. Its totient is φ = 173090304.

The previous prime is 456766447. The next prime is 456766463. The reversal of 456766460 is 64667654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456766463) 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, 600629 + ... + 601388.

It is an arithmetic number, because the mean of its divisors is an integer number (42070630).

Almost surely, 2^456766460 is an apocalyptic number.

It is an amenable number.

456766460 is an abundant number, since it is smaller than the sum of its proper divisors (552928660).

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

456766460 is a wasteful number, since it uses less digits than its factorization.

456766460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202045 (or 1202043 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 456766460 is about 21372.0953582001. The cubic root of 456766460 is about 770.1312307955.

The spelling of 456766460 in words is "four hundred fifty-six million, seven hundred sixty-six thousand, four hundred sixty".