461379949632 has 168 divisors, whose sum is σ = 1518165981696. Its totient is φ = 131231453184.

The previous prime is 461379949627. The next prime is 461379949637. The reversal of 461379949632 is 236949973164.

461379949632 is a `hidden beast` number, since 4 + 6 + 137 + 9 + 9 + 496 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (461379949627) and next prime (461379949637).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 461379949632.

It is not an unprimeable number, because it can be changed into a prime (461379949637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642568 + ... + 1155704.

It is an arithmetic number, because the mean of its divisors is an integer number (9036702272).

Almost surely, 2^461379949632 is an apocalyptic number.

461379949632 is a gapful number since it is divisible by the number (42) 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 461379949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759082990848).

461379949632 is an abundant number, since it is smaller than the sum of its proper divisors (1056786032064).

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

461379949632 is a wasteful number, since it uses less digits than its factorization.

461379949632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513385 (or 513372 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 461379949632 in words is "four hundred sixty-one billion, three hundred seventy-nine million, nine hundred forty-nine thousand, six hundred thirty-two".