457301130 has 256 divisors, whose sum is σ = 1375266816. Its totient is φ = 95800320.

The previous prime is 457301129. The next prime is 457301147. The reversal of 457301130 is 31103754.

It is a self number, because there is not a number n which added to its sum of digits gives 457301130.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6825357 + ... + 6825423.

It is an arithmetic number, because the mean of its divisors is an integer number (5372136).

Almost surely, 2^457301130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457301130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687633408).

457301130 is an abundant number, since it is smaller than the sum of its proper divisors (917965686).

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

457301130 is a wasteful number, since it uses less digits than its factorization.

457301130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 457301130 is about 21384.6003002160. The cubic root of 457301130 is about 770.4316071299.

Adding to 457301130 its reverse (31103754), we get a palindrome (488404884).

The spelling of 457301130 in words is "four hundred fifty-seven million, three hundred one thousand, one hundred thirty".