456922368 has 216 divisors, whose sum is σ = 1544577216. Its totient is φ = 127180800.

The previous prime is 456922337. The next prime is 456922369. The reversal of 456922368 is 863229654.

456922368 is a `hidden beast` number, since 4 + 569 + 2 + 23 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456922369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 660903 + ... + 661593.

Almost surely, 2^456922368 is an apocalyptic number.

456922368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772288608).

456922368 is an abundant number, since it is smaller than the sum of its proper divisors (1087654848).

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

456922368 is a wasteful number, since it uses less digits than its factorization.

456922368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 744 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 456922368 is about 21375.7425134193. The cubic root of 456922368 is about 770.2188437385.

The spelling of 456922368 in words is "four hundred fifty-six million, nine hundred twenty-two thousand, three hundred sixty-eight".