456601640 has 64 divisors (see below), whose sum is σ = 1186695360. Its totient is φ = 156267520.

The previous prime is 456601627. The next prime is 456601661. The reversal of 456601640 is 46106654.

It is a junction number, because it is equal to n+sod(n) for n = 456601597 and 456601606.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23042 + ... + 38001.

It is an arithmetic number, because the mean of its divisors is an integer number (18542115).

Almost surely, 2^456601640 is an apocalyptic number.

456601640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456601640 is an abundant number, since it is smaller than the sum of its proper divisors (730093720).

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

456601640 is a wasteful number, since it uses less digits than its factorization.

456601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61082 (or 61078 counting only the distinct ones).

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

The square root of 456601640 is about 21368.2390477082. The cubic root of 456601640 is about 770.0385880476.

The spelling of 456601640 in words is "four hundred fifty-six million, six hundred one thousand, six hundred forty".