461724720 has 40 divisors (see below), whose sum is σ = 1431347376. Its totient is φ = 123126528.

The previous prime is 461724713. The next prime is 461724727. The reversal of 461724720 is 27427164.

It is an interprime number because it is at equal distance from previous prime (461724713) and next prime (461724727).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (461724727) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 961687 + ... + 962166.

Almost surely, 2^461724720 is an apocalyptic number.

461724720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461724720 is an abundant number, since it is smaller than the sum of its proper divisors (969622656).

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

461724720 is a wasteful number, since it uses less digits than its factorization.

461724720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923869 (or 1923863 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 461724720 is about 21487.7807136987. The cubic root of 461724720 is about 772.9078333724.

The spelling of 461724720 in words is "four hundred sixty-one million, seven hundred twenty-four thousand, seven hundred twenty".