461034460794600 has 960 divisors, whose sum is σ = 2065192295126400. Its totient is φ = 92495934720000.

The previous prime is 461034460794599. The next prime is 461034460794643. The reversal of 461034460794600 is 6497064430164.

461034460794600 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 34 + 460 + 7 + 94 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29802250 + ... + 42546950.

It is an arithmetic number, because the mean of its divisors is an integer number (2151241974090).

Almost surely, 2^{461034460794600} is an apocalyptic number.

461034460794600 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 461034460794600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032596147563200).

461034460794600 is an abundant number, since it is smaller than the sum of its proper divisors (1604157834331800).

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

461034460794600 is a wasteful number, since it uses less digits than its factorization.

461034460794600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744776 (or 12744758 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 461034460794600 in words is "four hundred sixty-one trillion, thirty-four billion, four hundred sixty million, seven hundred ninety-four thousand, six hundred".