456383440 has 40 divisors (see below), whose sum is σ = 1097686440. Its totient is φ = 176257536.

The previous prime is 456383413. The next prime is 456383441. The reversal of 456383440 is 44383654.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 456078736 = 552^2 + 21356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 456383440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456383441) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 96039 + ... + 100678.

It is an arithmetic number, because the mean of its divisors is an integer number (27442161).

Almost surely, 2^456383440 is an apocalyptic number.

456383440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456383440 is an abundant number, since it is smaller than the sum of its proper divisors (641303000).

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

456383440 is a wasteful number, since it uses less digits than its factorization.

456383440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196759 (or 196753 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The square root of 456383440 is about 21363.1327290732. The cubic root of 456383440 is about 769.9159069349.

The spelling of 456383440 in words is "four hundred fifty-six million, three hundred eighty-three thousand, four hundred forty".