457521120 has 144 divisors (see below), whose sum is σ = 1784371680. Its totient is φ = 104573952.

The previous prime is 457521101. The next prime is 457521131. The reversal of 457521120 is 21125754.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12615 + ... + 32774.

It is an arithmetic number, because the mean of its divisors is an integer number (12391470).

Almost surely, 2^457521120 is an apocalyptic number.

457521120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

457521120 is an abundant number, since it is smaller than the sum of its proper divisors (1326850560).

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

457521120 is a wasteful number, since it uses less digits than its factorization.

457521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45417 (or 45406 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 457521120 is about 21389.7433364685. The cubic root of 457521120 is about 770.5551290045. Note that the first 3 decimals are identical.

Adding to 457521120 its reverse (21125754), we get a palindrome (478646874).

The spelling of 457521120 in words is "four hundred fifty-seven million, five hundred twenty-one thousand, one hundred twenty".