461260520 has 48 divisors (see below), whose sum is σ = 1207283940. Its totient is φ = 158145792.

The previous prime is 461260493. The next prime is 461260523. The reversal of 461260520 is 25062164.

It can be written as a sum of positive squares in 2 ways, for example, as 459416356 + 1844164 = 21434^2 + 1358^2 .

It is a super-2 number, since 2×461260520² = 425522534621340800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461260520.

It is not an unprimeable number, because it can be changed into a prime (461260523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115709 + ... + 119628.

Almost surely, 2^461260520 is an apocalyptic number.

461260520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461260520 is an abundant number, since it is smaller than the sum of its proper divisors (746023420).

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

461260520 is a wasteful number, since it uses less digits than its factorization.

461260520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235362 (or 235351 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 461260520 is about 21476.9765097418. The cubic root of 461260520 is about 772.6487294059.

The spelling of 461260520 in words is "four hundred sixty-one million, two hundred sixty thousand, five hundred twenty".