457040520 has 96 divisors (see below), whose sum is σ = 1488029400. Its totient is φ = 121660416.

The previous prime is 457040513. The next prime is 457040527. The reversal of 457040520 is 25040754.

457040520 is a `hidden beast` number, since 4 + 570 + 40 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (457040513) and next prime (457040527).

It can be written as a sum of positive squares in 4 ways, for example, as 443776356 + 13264164 = 21066^2 + 3642^2 .

It is not an unprimeable number, because it can be changed into a prime (457040527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371266 + ... + 372494.

Almost surely, 2^457040520 is an apocalyptic number.

457040520 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 457040520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744014700).

457040520 is an abundant number, since it is smaller than the sum of its proper divisors (1030988880).

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

457040520 is a wasteful number, since it uses less digits than its factorization.

457040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 457040520 is about 21378.5060282518. The cubic root of 457040520 is about 770.2852263164.

The spelling of 457040520 in words is "four hundred fifty-seven million, forty thousand, five hundred twenty".