457452748800 has 714 divisors, whose sum is σ = 1705374218112. Its totient is φ = 121668894720.

The previous prime is 457452748777. The next prime is 457452748801. The reversal of 457452748800 is 8847254754.

457452748800 is a `hidden beast` number, since 4 + 5 + 74 + 527 + 48 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457452748801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194393409 + ... + 1194393791.

Almost surely, 2^457452748800 is an apocalyptic number.

457452748800 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 457452748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852687109056).

457452748800 is an abundant number, since it is smaller than the sum of its proper divisors (1247921469312).

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

457452748800 is an frugal number, since it uses more digits than its factorization.

457452748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 457452748800 in words is "four hundred fifty-seven billion, four hundred fifty-two million, seven hundred forty-eight thousand, eight hundred".