461556480 has 432 divisors, whose sum is σ = 1879041024. Its totient is φ = 95477760.

The previous prime is 461556461. The next prime is 461556499. The reversal of 461556480 is 84655164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461556461) and next prime (461556499).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2069649 + ... + 2069871.

It is an arithmetic number, because the mean of its divisors is an integer number (4349632).

Almost surely, 2^461556480 is an apocalyptic number.

461556480 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 461556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939520512).

461556480 is an abundant number, since it is smaller than the sum of its proper divisors (1417484544).

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

461556480 is a wasteful number, since it uses less digits than its factorization.

461556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 461556480 is about 21483.8655739604. The cubic root of 461556480 is about 772.8139463982.

The spelling of 461556480 in words is "four hundred sixty-one million, five hundred fifty-six thousand, four hundred eighty".