454361717628 has 768 divisors, whose sum is σ = 1569299558400. Its totient is φ = 110361968640.

The previous prime is 454361717627. The next prime is 454361717657. The reversal of 454361717628 is 826717163454.

454361717628 is a `hidden beast` number, since 4 + 5 + 4 + 3 + 6 + 1 + 7 + 1 + 7 + 628 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454361717627) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1287143500 + ... + 1287143852.

It is an arithmetic number, because the mean of its divisors is an integer number (2043358800).

Almost surely, 2^454361717628 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 454361717628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784649779200).

454361717628 is an abundant number, since it is smaller than the sum of its proper divisors (1114937840772).

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

454361717628 is a wasteful number, since it uses less digits than its factorization.

454361717628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 454361717628 in words is "four hundred fifty-four billion, three hundred sixty-one million, seven hundred seventeen thousand, six hundred twenty-eight".