457829240 has 32 divisors (see below), whose sum is σ = 1123763760. Its totient is φ = 166483200.

The previous prime is 457829221. The next prime is 457829249. The reversal of 457829240 is 42928754.

It is a super-2 number, since 2×457829240² = 419215225997955200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457829249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 519821 + ... + 520700.

Almost surely, 2^457829240 is an apocalyptic number.

457829240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457829240 is an abundant number, since it is smaller than the sum of its proper divisors (665934520).

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

457829240 is a wasteful number, since it uses less digits than its factorization.

457829240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040543 (or 1040539 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 457829240 is about 21396.9446417006. The cubic root of 457829240 is about 770.7280683202.

The spelling of 457829240 in words is "four hundred fifty-seven million, eight hundred twenty-nine thousand, two hundred forty".