461462047600 has 180 divisors, whose sum is σ = 1166111111880. Its totient is φ = 175281792000.

The previous prime is 461462047597. The next prime is 461462047637. The reversal of 461462047600 is 6740264164.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 35 ways as a sum of consecutive naturals, for example, 43158255 + ... + 43168945.

It is an arithmetic number, because the mean of its divisors is an integer number (6478395066).

Almost surely, 2^461462047600 is an apocalyptic number.

461462047600 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 461462047600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583055555940).

461462047600 is an abundant number, since it is smaller than the sum of its proper divisors (704649064280).

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

461462047600 is a wasteful number, since it uses less digits than its factorization.

461462047600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860 (or 10788 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 461462047600 in words is "four hundred sixty-one billion, four hundred sixty-two million, forty-seven thousand, six hundred".