457323625728 has 540 divisors, whose sum is σ = 1451148837600. Its totient is φ = 143224215552.

The previous prime is 457323625663. The next prime is 457323625841. The reversal of 457323625728 is 827526323754.

457323625728 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 2 + 3 + 62 + 572 + 8 = 666.

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

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 59 ways as a sum of consecutive naturals, for example, 1489653351 + ... + 1489653657.

Almost surely, 2^457323625728 is an apocalyptic number.

457323625728 is a gapful number since it is divisible by the number (48) 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 457323625728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725574418800).

457323625728 is an abundant number, since it is smaller than the sum of its proper divisors (993825211872).

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

457323625728 is a wasteful number, since it uses less digits than its factorization.

457323625728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 530 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 457323625728 in words is "four hundred fifty-seven billion, three hundred twenty-three million, six hundred twenty-five thousand, seven hundred twenty-eight".