455742448920 has 1152 divisors, whose sum is σ = 1825721856000. Its totient is φ = 100761408000.

The previous prime is 455742448919. The next prime is 455742448981. The reversal of 455742448920 is 29844247554.

455742448920 is a `hidden beast` number, since 4 + 5 + 574 + 2 + 4 + 48 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 2386086025 + ... + 2386086215.

It is an arithmetic number, because the mean of its divisors is an integer number (1584828000).

Almost surely, 2^455742448920 is an apocalyptic number.

455742448920 is a gapful number since it is divisible by the number (40) 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 455742448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912860928000).

455742448920 is an abundant number, since it is smaller than the sum of its proper divisors (1369979407080).

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

455742448920 is a wasteful number, since it uses less digits than its factorization.

455742448920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 455742448920 in words is "four hundred fifty-five billion, seven hundred forty-two million, four hundred forty-eight thousand, nine hundred twenty".