457301460 has 288 divisors, whose sum is σ = 1665570816. Its totient is φ = 91065600.

The previous prime is 457301447. The next prime is 457301461. The reversal of 457301460 is 64103754.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457301461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4439769 + ... + 4439871.

It is an arithmetic number, because the mean of its divisors is an integer number (5783232).

Almost surely, 2^457301460 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 457301460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832785408).

457301460 is an abundant number, since it is smaller than the sum of its proper divisors (1208269356).

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

457301460 is a wasteful number, since it uses less digits than its factorization.

457301460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 457301460 is about 21384.6080160474. The cubic root of 457301460 is about 770.4317924508.

The spelling of 457301460 in words is "four hundred fifty-seven million, three hundred one thousand, four hundred sixty".