460280520 has 288 divisors, whose sum is σ = 1764617400. Its totient is φ = 103735296.

The previous prime is 460280507. The next prime is 460280521. The reversal of 460280520 is 25082064.

460280520 is a `hidden beast` number, since 4 + 60 + 2 + 80 + 520 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 245423556 + 214856964 = 15666^2 + 14658^2 .

It is not an unprimeable number, because it can be changed into a prime (460280521) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1710946 + ... + 1711214.

Almost surely, 2^460280520 is an apocalyptic number.

460280520 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 460280520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882308700).

460280520 is an abundant number, since it is smaller than the sum of its proper divisors (1304336880).

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

460280520 is a wasteful number, since it uses less digits than its factorization.

460280520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 460280520 is about 21454.1492490381. The cubic root of 460280520 is about 772.1011482993.

The spelling of 460280520 in words is "four hundred sixty million, two hundred eighty thousand, five hundred twenty".