457048800 has 432 divisors, whose sum is σ = 1834101360. Its totient is φ = 106168320.

The previous prime is 457048789. The next prime is 457048807. The reversal of 457048800 is 8840754.

457048800 is a `hidden beast` number, since 4 + 570 + 4 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457048807) 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 71 ways as a sum of consecutive naturals, for example, 1778272 + ... + 1778528.

It is an arithmetic number, because the mean of its divisors is an integer number (4245605).

Almost surely, 2^457048800 is an apocalyptic number.

457048800 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 457048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917050680).

457048800 is an abundant number, since it is smaller than the sum of its proper divisors (1377052560).

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

457048800 is a wasteful number, since it uses less digits than its factorization.

457048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 457048800 is about 21378.6996798215. The cubic root of 457048800 is about 770.2898779267.

The spelling of 457048800 in words is "four hundred fifty-seven million, forty-eight thousand, eight hundred".