461894400000 has 1296 divisors, whose sum is σ = 1888889806440. Its totient is φ = 111974400000.

The previous prime is 461894399977. The next prime is 461894400017. The reversal of 461894400000 is 4498164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41990399995 + ... + 41990400005.

Almost surely, 2^461894400000 is an apocalyptic number.

461894400000 is a gapful number since it is divisible by the number (40) 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 461894400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944444903220).

461894400000 is an abundant number, since it is smaller than the sum of its proper divisors (1426995406440).

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

461894400000 is an frugal number, since it uses more digits than its factorization.

461894400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 461894400000 its reverse (4498164), we get a palindrome (461898898164).

The spelling of 461894400000 in words is "four hundred sixty-one billion, eight hundred ninety-four million, four hundred thousand".