457228800 has 630 divisors, whose sum is σ = 1975751613. Its totient is φ = 104509440.

The previous prime is 457228789. The next prime is 457228801. The reversal of 457228800 is 8822754.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

457228800 is a `hidden beast` number, since 4 + 572 + 2 + 8 + 80 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 448084224 + 9144576 = 21168^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15120.

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

It is not an unprimeable number, because it can be changed into a prime (457228801) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 65318397 + ... + 65318403.

Almost surely, 2^457228800 is an apocalyptic number.

457228800 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 457228800

457228800 is an abundant number, since it is smaller than the sum of its proper divisors (1518522813).

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

457228800 is an frugal number, since it uses more digits than its factorization.

457228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 17 counting only the distinct ones).

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

The square root of 457228800 is about 21382.9090630812. The cubic root of 457228800 is about 770.3909860069.

The spelling of 457228800 in words is "four hundred fifty-seven million, two hundred twenty-eight thousand, eight hundred".