457345424 has 40 divisors (see below), whose sum is σ = 939736728. Its totient is φ = 214876160.

The previous prime is 457345411. The next prime is 457345451. The reversal of 457345424 is 424543754.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 293505424 + 163840000 = 17132^2 + 12800^2 .

It is a super-3 number, since 3×457345424³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264884 + ... + 266604.

Almost surely, 2^457345424 is an apocalyptic number.

It is an amenable number.

457345424 is an abundant number, since it is smaller than the sum of its proper divisors (482391304).

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

457345424 is a wasteful number, since it uses less digits than its factorization.

457345424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2717 counting only the distinct ones).

The product of its digits is 268800, while the sum is 38.

The square root of 457345424 is about 21385.6359269487. The cubic root of 457345424 is about 770.4564808900.

The spelling of 457345424 in words is "four hundred fifty-seven million, three hundred forty-five thousand, four hundred twenty-four".