456661366 has 48 divisors (see below), whose sum is σ = 825146784. Its totient is φ = 185657472.

The previous prime is 456661351. The next prime is 456661367. The reversal of 456661366 is 663166654.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456661367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458826 + ... + 1459138.

It is an arithmetic number, because the mean of its divisors is an integer number (17190558).

Almost surely, 2^456661366 is an apocalyptic number.

456661366 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

456661366 is a deficient number, since it is larger than the sum of its proper divisors (368485418).

456661366 is a wasteful number, since it uses less digits than its factorization.

456661366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 542 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 456661366 is about 21369.6365434698. The cubic root of 456661366 is about 770.0721616747.

The spelling of 456661366 in words is "four hundred fifty-six million, six hundred sixty-one thousand, three hundred sixty-six".