456661040 has 40 divisors (see below), whose sum is σ = 1158260688. Its totient is φ = 166058240.

The previous prime is 456661027. The next prime is 456661043. The reversal of 456661040 is 40166654.

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

It is a junction number, because it is equal to n+sod(n) for n = 456660988 and 456661006.

It is not an unprimeable number, because it can be changed into a prime (456661043) 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 7 ways as a sum of consecutive naturals, for example, 258587 + ... + 260346.

Almost surely, 2^456661040 is an apocalyptic number.

456661040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456661040 is an abundant number, since it is smaller than the sum of its proper divisors (701599648).

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

456661040 is a wasteful number, since it uses less digits than its factorization.

456661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518957 (or 518951 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 456661040 is about 21369.6289158235. The cubic root of 456661040 is about 770.0719784291.

The spelling of 456661040 in words is "four hundred fifty-six million, six hundred sixty-one thousand, forty".