457505500 has 48 divisors (see below), whose sum is σ = 1001486304. Its totient is φ = 182582400.

The previous prime is 457505459. The next prime is 457505507. The reversal of 457505500 is 5505754.

It is a super-2 number, since 2×457505500² = 418622565060500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457505507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307759 + ... + 309241.

It is an arithmetic number, because the mean of its divisors is an integer number (20864298).

Almost surely, 2^457505500 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 457505500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500743152).

457505500 is an abundant number, since it is smaller than the sum of its proper divisors (543980804).

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

457505500 is a wasteful number, since it uses less digits than its factorization.

457505500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 17500, while the sum is 31.

The square root of 457505500 is about 21389.3782050811. The cubic root of 457505500 is about 770.5463598588.

The spelling of 457505500 in words is "four hundred fifty-seven million, five hundred five thousand, five hundred".