457713300 has 144 divisors (see below), whose sum is σ = 1472530752. Its totient is φ = 108825600.

The previous prime is 457713259. The next prime is 457713323. The reversal of 457713300 is 3317754.

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

It is a congruent number.

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, 173592 + ... + 176208.

It is an arithmetic number, because the mean of its divisors is an integer number (10225908).

Almost surely, 2^457713300 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 457713300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736265376).

457713300 is an abundant number, since it is smaller than the sum of its proper divisors (1014817452).

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

457713300 is a wasteful number, since it uses less digits than its factorization.

457713300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2691 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 457713300 is about 21394.2352048396. The cubic root of 457713300 is about 770.6630034820.

The spelling of 457713300 in words is "four hundred fifty-seven million, seven hundred thirteen thousand, three hundred".