461208528 has 60 divisors (see below), whose sum is σ = 1408088448. Its totient is φ = 139759680.

The previous prime is 461208523. The next prime is 461208529. The reversal of 461208528 is 825802164.

461208528 is a `hidden beast` number, since 4 + 6 + 120 + 8 + 528 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 461208492 and 461208501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461208523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144000 + ... + 147167.

Almost surely, 2^461208528 is an apocalyptic number.

461208528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

461208528 is an abundant number, since it is smaller than the sum of its proper divisors (946879920).

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

461208528 is a wasteful number, since it uses less digits than its factorization.

461208528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291192 (or 291183 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 461208528 is about 21475.7660631699. The cubic root of 461208528 is about 772.6196980448.

The spelling of 461208528 in words is "four hundred sixty-one million, two hundred eight thousand, five hundred twenty-eight".