457242030 has 384 divisors, whose sum is σ = 1595635200. Its totient is φ = 92316672.

The previous prime is 457241999. The next prime is 457242067. The reversal of 457242030 is 30242754.

457242030 is a `hidden beast` number, since 457 + 2 + 4 + 203 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 457241985 and 457242003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4273237 + ... + 4273343.

It is an arithmetic number, because the mean of its divisors is an integer number (4155300).

Almost surely, 2^457242030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457242030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797817600).

457242030 is an abundant number, since it is smaller than the sum of its proper divisors (1138393170).

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

457242030 is a wasteful number, since it uses less digits than its factorization.

457242030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 457242030 is about 21383.2184200602. The cubic root of 457242030 is about 770.3984164038.

Adding to 457242030 its reverse (30242754), we get a palindrome (487484784).

The spelling of 457242030 in words is "four hundred fifty-seven million, two hundred forty-two thousand, thirty".