461685420 has 288 divisors, whose sum is σ = 1705406976. Its totient is φ = 102643200.

The previous prime is 461685383. The next prime is 461685421. The reversal of 461685420 is 24586164.

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

It is not an unprimeable number, because it can be changed into a prime (461685421) 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 95 ways as a sum of consecutive naturals, for example, 1394655 + ... + 1394985.

It is an arithmetic number, because the mean of its divisors is an integer number (5921552).

Almost surely, 2^461685420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461685420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852703488).

461685420 is an abundant number, since it is smaller than the sum of its proper divisors (1243721556).

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

461685420 is a wasteful number, since it uses less digits than its factorization.

461685420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 461685420 is about 21486.8662210198. The cubic root of 461685420 is about 772.8859038992.

The spelling of 461685420 in words is "four hundred sixty-one million, six hundred eighty-five thousand, four hundred twenty".