461204734480 has 360 divisors, whose sum is σ = 1345198383936. Its totient is φ = 146345633280.

The previous prime is 461204734421. The next prime is 461204734489. The reversal of 461204734480 is 84437402164.

It is not an unprimeable number, because it can be changed into a prime (461204734489) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 86641099 + ... + 86646421.

Almost surely, 2^461204734480 is an apocalyptic number.

461204734480 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 461204734480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672599191968).

461204734480 is an abundant number, since it is smaller than the sum of its proper divisors (883993649456).

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

461204734480 is a wasteful number, since it uses less digits than its factorization.

461204734480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 43.

The spelling of 461204734480 in words is "four hundred sixty-one billion, two hundred four million, seven hundred thirty-four thousand, four hundred eighty".