461362992 has 60 divisors (see below), whose sum is σ = 1204376040. Its totient is φ = 152188416.

The previous prime is 461362991. The next prime is 461363009. The reversal of 461362992 is 299263164.

It is not an unprimeable number, because it can be changed into a prime (461362991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 569884 + ... + 570692.

It is an arithmetic number, because the mean of its divisors is an integer number (20072934).

Almost surely, 2^461362992 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 461362992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602188020).

461362992 is an abundant number, since it is smaller than the sum of its proper divisors (743013048).

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

461362992 is a wasteful number, since it uses less digits than its factorization.

461362992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 923 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 461362992 is about 21479.3620016983. The cubic root of 461362992 is about 772.7059414692.

The spelling of 461362992 in words is "four hundred sixty-one million, three hundred sixty-two thousand, nine hundred ninety-two".