461956230912 has 288 divisors, whose sum is σ = 1425323257344. Its totient is φ = 131271884800.

The previous prime is 461956230907. The next prime is 461956230917. The reversal of 461956230912 is 219032659164.

It is an interprime number because it is at equal distance from previous prime (461956230907) and next prime (461956230917).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461956230917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40350373 + ... + 40361819.

It is an arithmetic number, because the mean of its divisors is an integer number (4949039088).

Almost surely, 2^461956230912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461956230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712661628672).

461956230912 is an abundant number, since it is smaller than the sum of its proper divisors (963367026432).

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

461956230912 is a wasteful number, since it uses less digits than its factorization.

461956230912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11775 (or 11761 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 461956230912 in words is "four hundred sixty-one billion, nine hundred fifty-six million, two hundred thirty thousand, nine hundred twelve".