456552565420 has 192 divisors, whose sum is σ = 1215723479040. Its totient is φ = 140325470208.

The previous prime is 456552565411. The next prime is 456552565423. The reversal of 456552565420 is 24565255654.

It is not an unprimeable number, because it can be changed into a prime (456552565423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13065412 + ... + 13100308.

It is an arithmetic number, because the mean of its divisors is an integer number (6331893120).

Almost surely, 2^456552565420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456552565420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607861739520).

456552565420 is an abundant number, since it is smaller than the sum of its proper divisors (759170913620).

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

456552565420 is a wasteful number, since it uses less digits than its factorization.

456552565420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192 (or 35190 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 49.

The spelling of 456552565420 in words is "four hundred fifty-six billion, five hundred fifty-two million, five hundred sixty-five thousand, four hundred twenty".