456660424 has 64 divisors (see below), whose sum is σ = 952560000. Its totient is φ = 203512320.

The previous prime is 456660397. The next prime is 456660433. The reversal of 456660424 is 424066654.

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, 1558422 + ... + 1558714.

It is an arithmetic number, because the mean of its divisors is an integer number (14883750).

Almost surely, 2^456660424 is an apocalyptic number.

456660424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456660424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280000).

456660424 is an abundant number, since it is smaller than the sum of its proper divisors (495899576).

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

456660424 is a wasteful number, since it uses less digits than its factorization.

456660424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

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

The square root of 456660424 is about 21369.6145028402. The cubic root of 456660424 is about 770.0716321733.

The spelling of 456660424 in words is "four hundred fifty-six million, six hundred sixty thousand, four hundred twenty-four".