461134284000 has 384 divisors, whose sum is σ = 1649208532608. Its totient is φ = 111952281600.

The previous prime is 461134283971. The next prime is 461134284007. The reversal of 461134284000 is 482431164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461134284007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11367754 + ... + 11408246.

It is an arithmetic number, because the mean of its divisors is an integer number (4294813887).

Almost surely, 2^461134284000 is an apocalyptic number.

461134284000 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 461134284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824604266304).

461134284000 is an abundant number, since it is smaller than the sum of its proper divisors (1188074248608).

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

461134284000 is a wasteful number, since it uses less digits than its factorization.

461134284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40607 (or 40589 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 461134284000 in words is "four hundred sixty-one billion, one hundred thirty-four million, two hundred eighty-four thousand".