457560500 has 48 divisors (see below), whose sum is σ = 1026362064. Its totient is φ = 178070400.

The previous prime is 457560497. The next prime is 457560547. The reversal of 457560500 is 5065754.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 171138724 + 286421776 = 13082^2 + 16924^2 .

It is a super-2 number, since 2×457560500² = 418723222320500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6134 + ... + 30866.

It is an arithmetic number, because the mean of its divisors is an integer number (21382543).

Almost surely, 2^457560500 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 457560500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513181032).

457560500 is an abundant number, since it is smaller than the sum of its proper divisors (568801564).

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

457560500 is a wasteful number, since it uses less digits than its factorization.

457560500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24789 (or 24777 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 457560500 is about 21390.6638513161. The cubic root of 457560500 is about 770.5772362466.

The spelling of 457560500 in words is "four hundred fifty-seven million, five hundred sixty thousand, five hundred".