456943340 has 96 divisors (see below), whose sum is σ = 1192786560. Its totient is φ = 143437824.

The previous prime is 456943337. The next prime is 456943363. The reversal of 456943340 is 43349654.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 456943294 and 456943303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 85466 + ... + 90654.

It is an arithmetic number, because the mean of its divisors is an integer number (12424860).

Almost surely, 2^456943340 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 456943340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596393280).

456943340 is an abundant number, since it is smaller than the sum of its proper divisors (735843220).

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

456943340 is a wasteful number, since it uses less digits than its factorization.

456943340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 456943340 is about 21376.2330638492. The cubic root of 456943340 is about 770.2306274926.

The spelling of 456943340 in words is "four hundred fifty-six million, nine hundred forty-three thousand, three hundred forty".