457503660 has 384 divisors, whose sum is σ = 1649894400. Its totient is φ = 104509440.

The previous prime is 457503653. The next prime is 457503731. The reversal of 457503660 is 66305754.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7500030 + ... + 7500090.

It is an arithmetic number, because the mean of its divisors is an integer number (4296600).

Almost surely, 2^457503660 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 457503660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

457503660 is an abundant number, since it is smaller than the sum of its proper divisors (1192390740).

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

457503660 is a wasteful number, since it uses less digits than its factorization.

457503660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 457503660 is about 21389.3351930349. The cubic root of 457503660 is about 770.5453268605.

The spelling of 457503660 in words is "four hundred fifty-seven million, five hundred three thousand, six hundred sixty".