461203416000 has 896 divisors, whose sum is σ = 1799246592000. Its totient is φ = 115333632000.

The previous prime is 461203415989. The next prime is 461203416013. The reversal of 461203416000 is 614302164.

461203416000 is a `hidden beast` number, since 4 + 6 + 1 + 20 + 34 + 1 + 600 + 0 = 666.

461203416000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447335485 + ... + 447336515.

Almost surely, 2^461203416000 is an apocalyptic number.

461203416000 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 461203416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899623296000).

461203416000 is an abundant number, since it is smaller than the sum of its proper divisors (1338043176000).

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

461203416000 is a wasteful number, since it uses less digits than its factorization.

461203416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 461203416000 its reverse (614302164), we get a palindrome (461817718164).

The spelling of 461203416000 in words is "four hundred sixty-one billion, two hundred three million, four hundred sixteen thousand".