457463157984 has 432 divisors, whose sum is σ = 1573568156160. Its totient is φ = 125560834560.

The previous prime is 457463157971. The next prime is 457463158067. The reversal of 457463157984 is 489751364754.

457463157984 is a `hidden beast` number, since 4 + 57 + 4 + 6 + 3 + 1 + 579 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60804847 + ... + 60812369.

It is an arithmetic number, because the mean of its divisors is an integer number (3642518880).

Almost surely, 2^457463157984 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 457463157984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786784078080).

457463157984 is an abundant number, since it is smaller than the sum of its proper divisors (1116104998176).

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

457463157984 is a wasteful number, since it uses less digits than its factorization.

457463157984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7723 (or 7705 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 457463157984 in words is "four hundred fifty-seven billion, four hundred sixty-three million, one hundred fifty-seven thousand, nine hundred eighty-four".