457328412 has 72 divisors (see below), whose sum is σ = 1211857920. Its totient is φ = 145141920.

The previous prime is 457328381. The next prime is 457328413. The reversal of 457328412 is 214823754.

It is a happy number.

457328412 is a `hidden beast` number, since 4 + 573 + 2 + 84 + 1 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457328413) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 196737 + ... + 199047.

It is an arithmetic number, because the mean of its divisors is an integer number (16831360).

Almost surely, 2^457328412 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 457328412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605928960).

457328412 is an abundant number, since it is smaller than the sum of its proper divisors (754529508).

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

457328412 is a wasteful number, since it uses less digits than its factorization.

457328412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583 (or 2578 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 457328412 is about 21385.2381796416. The cubic root of 457328412 is about 770.4469278130.

The spelling of 457328412 in words is "four hundred fifty-seven million, three hundred twenty-eight thousand, four hundred twelve".