461989755600 has 60 divisors (see below), whose sum is σ = 1479907187616. Its totient is φ = 123197267840.

The previous prime is 461989755587. The next prime is 461989755653. The reversal of 461989755600 is 6557989164.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192494532 + ... + 192496931.

Almost surely, 2^461989755600 is an apocalyptic number.

461989755600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461989755600 is an abundant number, since it is smaller than the sum of its proper divisors (1017917432016).

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

461989755600 is a wasteful number, since it uses less digits than its factorization.

461989755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384991484 (or 384991473 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 461989755600 in words is "four hundred sixty-one billion, nine hundred eighty-nine million, seven hundred fifty-five thousand, six hundred".