457253730 has 96 divisors (see below), whose sum is σ = 1260146160. Its totient is φ = 114831360.

The previous prime is 457253711. The next prime is 457253747. The reversal of 457253730 is 37352754.

457253730 is a `hidden beast` number, since 4 + 572 + 53 + 7 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 46826649 + 410427081 = 6843^2 + 20259^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104874 + ... + 109146.

Almost surely, 2^457253730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457253730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630073080).

457253730 is an abundant number, since it is smaller than the sum of its proper divisors (802892430).

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

457253730 is a wasteful number, since it uses less digits than its factorization.

457253730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 457253730 is about 21383.4919973329. The cubic root of 457253730 is about 770.4049873837.

It can be divided in two parts, 45725 and 3730, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 457253730 in words is "four hundred fifty-seven million, two hundred fifty-three thousand, seven hundred thirty".