461467860 has 288 divisors, whose sum is σ = 1617272832. Its totient is φ = 96180480.

The previous prime is 461467849. The next prime is 461467871. The reversal of 461467860 is 68764164.

It is an interprime number because it is at equal distance from previous prime (461467849) and next prime (461467871).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6887547 + ... + 6887613.

Almost surely, 2^461467860 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 461467860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808636416).

461467860 is an abundant number, since it is smaller than the sum of its proper divisors (1155804972).

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

461467860 is a wasteful number, since it uses less digits than its factorization.

461467860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 461467860 is about 21481.8029969554. The cubic root of 461467860 is about 772.7644824946.

The spelling of 461467860 in words is "four hundred sixty-one million, four hundred sixty-seven thousand, eight hundred sixty".