457881984 has 224 divisors, whose sum is σ = 1565263440. Its totient is φ = 130636800.

The previous prime is 457881937. The next prime is 457882003. The reversal of 457881984 is 489188754.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×457881984² = 419311822543552512, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 457881984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 652834 + ... + 653534.

Almost surely, 2^457881984 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 457881984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782631720).

457881984 is an abundant number, since it is smaller than the sum of its proper divisors (1107381456).

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

457881984 is an frugal number, since it uses more digits than its factorization.

457881984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 713 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 457881984 is about 21398.1771186239. The cubic root of 457881984 is about 770.7576643040.

The spelling of 457881984 in words is "four hundred fifty-seven million, eight hundred eighty-one thousand, nine hundred eighty-four".