461508520 has 192 divisors, whose sum is σ = 1241049600. Its totient is φ = 153753600.

The previous prime is 461508517. The next prime is 461508527. The reversal of 461508520 is 25805164.

It is a super-2 number, since 2×461508520² = 425980228065180800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461508527) 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, 5841841 + ... + 5841919.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^461508520 is an apocalyptic number.

461508520 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 461508520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

461508520 is an abundant number, since it is smaller than the sum of its proper divisors (779541080).

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

461508520 is a wasteful number, since it uses less digits than its factorization.

461508520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 461508520 is about 21482.7493584969. The cubic root of 461508520 is about 772.7871779583.

The spelling of 461508520 in words is "four hundred sixty-one million, five hundred eight thousand, five hundred twenty".