457453644000 has 384 divisors, whose sum is σ = 1554512529024. Its totient is φ = 117515520000.

The previous prime is 457453643989. The next prime is 457453644013. The reversal of 457453644000 is 446354754.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4529243950 + ... + 4529244050.

It is an arithmetic number, because the mean of its divisors is an integer number (4048209711).

Almost surely, 2^457453644000 is an apocalyptic number.

457453644000 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 457453644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777256264512).

457453644000 is an abundant number, since it is smaller than the sum of its proper divisors (1097058885024).

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

457453644000 is an frugal number, since it uses more digits than its factorization.

457453644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 42.

Adding to 457453644000 its reverse (446354754), we get a palindrome (457899998754).

The spelling of 457453644000 in words is "four hundred fifty-seven billion, four hundred fifty-three million, six hundred forty-four thousand".