453930387456 has 864 divisors, whose sum is σ = 1589751334080. Its totient is φ = 112761372672.

The previous prime is 453930387439. The next prime is 453930387503. The reversal of 453930387456 is 654783039354.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 453930387396 and 453930387405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2623874986 + ... + 2623875158.

It is an arithmetic number, because the mean of its divisors is an integer number (1839989970).

Almost surely, 2^453930387456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 453930387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794875667040).

453930387456 is an abundant number, since it is smaller than the sum of its proper divisors (1135820946624).

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

453930387456 is a wasteful number, since it uses less digits than its factorization.

453930387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 453930387456 in words is "four hundred fifty-three billion, nine hundred thirty million, three hundred eighty-seven thousand, four hundred fifty-six".