461371478400 has 576 divisors, whose sum is σ = 1891175251680. Its totient is φ = 104911994880.

The previous prime is 461371478363. The next prime is 461371478417. The reversal of 461371478400 is 4874173164.

461371478400 is a `hidden beast` number, since 4 + 6 + 137 + 1 + 478 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 39709392 + ... + 39721008.

Almost surely, 2^461371478400 is an apocalyptic number.

461371478400 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 461371478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945587625840).

461371478400 is an abundant number, since it is smaller than the sum of its proper divisors (1429803773280).

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

461371478400 is a wasteful number, since it uses less digits than its factorization.

461371478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11851 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 461371478400 in words is "four hundred sixty-one billion, three hundred seventy-one million, four hundred seventy-eight thousand, four hundred".