456368352 has 48 divisors (see below), whose sum is σ = 1306876032. Its totient is φ = 138293120.

The previous prime is 456368351. The next prime is 456368371. The reversal of 456368352 is 253863654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456368351) 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 7 ways as a sum of consecutive naturals, for example, 215028 + ... + 217139.

It is an arithmetic number, because the mean of its divisors is an integer number (27226584).

Almost surely, 2^456368352 is an apocalyptic number.

It is an amenable number.

456368352 is an abundant number, since it is smaller than the sum of its proper divisors (850507680).

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

456368352 is a wasteful number, since it uses less digits than its factorization.

456368352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432191 (or 432183 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 456368352 is about 21362.7795944254. The cubic root of 456368352 is about 769.9074223886.

The spelling of 456368352 in words is "four hundred fifty-six million, three hundred sixty-eight thousand, three hundred fifty-two".