457051884828 has 192 divisors, whose sum is σ = 1409593737216. Its totient is φ = 111780000000.

The previous prime is 457051884823. The next prime is 457051884851. The reversal of 457051884828 is 828488150754.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457051884823) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 844203 + ... + 1275453.

It is an arithmetic number, because the mean of its divisors is an integer number (7341634048).

Almost surely, 2^457051884828 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 457051884828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704796868608).

457051884828 is an abundant number, since it is smaller than the sum of its proper divisors (952541852388).

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

457051884828 is a wasteful number, since it uses less digits than its factorization.

457051884828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431344 (or 431342 counting only the distinct ones).

The product of its (nonzero) digits is 22937600, while the sum is 60.

The spelling of 457051884828 in words is "four hundred fifty-seven billion, fifty-one million, eight hundred eighty-four thousand, eight hundred twenty-eight".