457114492800 has 2304 divisors, whose sum is σ = 2080909670400. Its totient is φ = 98761420800.

The previous prime is 457114492789. The next prime is 457114492801. The reversal of 457114492800 is 8294411754.

457114492800 is a `hidden beast` number, since 4 + 5 + 71 + 14 + 492 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457114492801) 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 287 ways as a sum of consecutive naturals, for example, 10630569579 + ... + 10630569621.

It is an arithmetic number, because the mean of its divisors is an integer number (903172600).

Almost surely, 2^457114492800 is an apocalyptic number.

457114492800 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 457114492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040454835200).

457114492800 is an abundant number, since it is smaller than the sum of its proper divisors (1623795177600).

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

457114492800 is an equidigital number, since it uses as much as digits as its factorization.

457114492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 457114492800 in words is "four hundred fifty-seven billion, one hundred fourteen million, four hundred ninety-two thousand, eight hundred".