457353216000 has 720 divisors, whose sum is σ = 1711790021760. Its totient is φ = 121828147200.

The previous prime is 457353215999. The next prime is 457353216031. The reversal of 457353216000 is 612353754.

457353216000 is a `hidden beast` number, since 4 + 573 + 5 + 3 + 21 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 497663541 + ... + 497664459.

Almost surely, 2^457353216000 is an apocalyptic number.

457353216000 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 457353216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855895010880).

457353216000 is an abundant number, since it is smaller than the sum of its proper divisors (1254436805760).

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

457353216000 is an frugal number, since it uses more digits than its factorization.

457353216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

Adding to 457353216000 its reverse (612353754), we get a palindrome (457965569754).

The spelling of 457353216000 in words is "four hundred fifty-seven billion, three hundred fifty-three million, two hundred sixteen thousand".