457481520 has 240 divisors, whose sum is σ = 1615959072. Its totient is φ = 120268800.

The previous prime is 457481513. The next prime is 457481527. The reversal of 457481520 is 25184754.

457481520 is a `hidden beast` number, since 4 + 57 + 4 + 81 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (457481513) and next prime (457481527).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×457481520² = 418578682283020800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (457481527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1963324 + ... + 1963556.

Almost surely, 2^457481520 is an apocalyptic number.

457481520 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 457481520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807979536).

457481520 is an abundant number, since it is smaller than the sum of its proper divisors (1158477552).

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

457481520 is a wasteful number, since it uses less digits than its factorization.

457481520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 457481520 is about 21388.8176391310. The cubic root of 457481520 is about 770.5328969791.

The spelling of 457481520 in words is "four hundred fifty-seven million, four hundred eighty-one thousand, five hundred twenty".