457692984 has 128 divisors (see below), whose sum is σ = 1459660800. Its totient is φ = 130170240.

The previous prime is 457692953. The next prime is 457693037. The reversal of 457692984 is 489296754.

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 457692984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409194 + ... + 410310.

It is an arithmetic number, because the mean of its divisors is an integer number (11403600).

Almost surely, 2^457692984 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 457692984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729830400).

457692984 is an abundant number, since it is smaller than the sum of its proper divisors (1001967816).

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

457692984 is a wasteful number, since it uses less digits than its factorization.

457692984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1400 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 457692984 is about 21393.7603987705. The cubic root of 457692984 is about 770.6516011324.

The spelling of 457692984 in words is "four hundred fifty-seven million, six hundred ninety-two thousand, nine hundred eighty-four".