461408284940 has 144 divisors (see below), whose sum is σ = 1090111986432. Its totient is φ = 163671112704.

The previous prime is 461408284921. The next prime is 461408284973. The reversal of 461408284940 is 49482804164.

It is a super-3 number, since 3×461408284940³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8881079 + ... + 8932881.

It is an arithmetic number, because the mean of its divisors is an integer number (7570222128).

Almost surely, 2^461408284940 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 461408284940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545055993216).

461408284940 is an abundant number, since it is smaller than the sum of its proper divisors (628703701492).

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

461408284940 is a wasteful number, since it uses less digits than its factorization.

461408284940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51936 (or 51917 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 50.

The spelling of 461408284940 in words is "four hundred sixty-one billion, four hundred eight million, two hundred eighty-four thousand, nine hundred forty".