461407968 has 384 divisors, whose sum is σ = 1672151040. Its totient is φ = 120890880.

The previous prime is 461407949. The next prime is 461407987. The reversal of 461407968 is 869704164.

It is an interprime number because it is at equal distance from previous prime (461407949) and next prime (461407987).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4312171 + ... + 4312277.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^461407968 is an apocalyptic number.

461407968 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 461407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836075520).

461407968 is an abundant number, since it is smaller than the sum of its proper divisors (1210743072).

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

461407968 is a wasteful number, since it uses less digits than its factorization.

461407968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 461407968 is about 21480.4089346549. The cubic root of 461407968 is about 772.7310497490.

The spelling of 461407968 in words is "four hundred sixty-one million, four hundred seven thousand, nine hundred sixty-eight".