461279232000 has 1024 divisors, whose sum is σ = 1763342380800. Its totient is φ = 118908518400.

The previous prime is 461279231993. The next prime is 461279232013. The reversal of 461279232000 is 232972164.

461279232000 is a `hidden beast` number, since 4 + 61 + 279 + 2 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4755455952 + ... + 4755456048.

Almost surely, 2^461279232000 is an apocalyptic number.

461279232000 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 461279232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881671190400).

461279232000 is an abundant number, since it is smaller than the sum of its proper divisors (1302063148800).

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

461279232000 is an frugal number, since it uses more digits than its factorization.

461279232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 461279232000 in words is "four hundred sixty-one billion, two hundred seventy-nine million, two hundred thirty-two thousand".