455625456 has 160 divisors (see below), whose sum is σ = 1417409280. Its totient is φ = 124262400.

The previous prime is 455625451. The next prime is 455625509. The reversal of 455625456 is 654526554.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455625451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 280615 + ... + 282233.

It is an arithmetic number, because the mean of its divisors is an integer number (8858808).

Almost surely, 2^455625456 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 455625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708704640).

455625456 is an abundant number, since it is smaller than the sum of its proper divisors (961783824).

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

455625456 is a wasteful number, since it uses less digits than its factorization.

455625456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1689 counting only the distinct ones).

The product of its digits is 720000, while the sum is 42.

The square root of 455625456 is about 21345.3848876051. The cubic root of 455625456 is about 769.4894327119.

The spelling of 455625456 in words is "four hundred fifty-five million, six hundred twenty-five thousand, four hundred fifty-six".