461547408 has 80 divisors (see below), whose sum is σ = 1365130880. Its totient is φ = 131632128.

The previous prime is 461547407. The next prime is 461547409. The reversal of 461547408 is 804745164.

It is an interprime number because it is at equal distance from previous prime (461547407) and next prime (461547409).

It is not an unprimeable number, because it can be changed into a prime (461547403) 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 15 ways as a sum of consecutive naturals, for example, 277716 + ... + 279372.

It is an arithmetic number, because the mean of its divisors is an integer number (17064136).

Almost surely, 2^461547408 is an apocalyptic number.

461547408 is a gapful number since it is divisible by the number (48) 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 461547408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682565440).

461547408 is an abundant number, since it is smaller than the sum of its proper divisors (903583472).

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

461547408 is a wasteful number, since it uses less digits than its factorization.

461547408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 461547408 is about 21483.6544377347. The cubic root of 461547408 is about 772.8088830857.

The spelling of 461547408 in words is "four hundred sixty-one million, five hundred forty-seven thousand, four hundred eight".