457648520 has 64 divisors (see below), whose sum is σ = 1179083520. Its totient is φ = 156605184.

The previous prime is 457648511. The next prime is 457648547. The reversal of 457648520 is 25846754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181589 + ... + 184091.

It is an arithmetic number, because the mean of its divisors is an integer number (18423180).

Almost surely, 2^457648520 is an apocalyptic number.

457648520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457648520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589541760).

457648520 is an abundant number, since it is smaller than the sum of its proper divisors (721435000).

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

457648520 is a wasteful number, since it uses less digits than its factorization.

457648520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 41.

The square root of 457648520 is about 21392.7211920316. The cubic root of 457648520 is about 770.6266445467.

The spelling of 457648520 in words is "four hundred fifty-seven million, six hundred forty-eight thousand, five hundred twenty".